Maria Rita CASALI Professore Ordinario presso: Dipartimento di Scienze Fisiche, Informatiche e Matematiche sede ex-Matematica |

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## Pubblicazioni

**2021**
- Compact 4-manifolds admitting special handle decompositions
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2020**
- Classifying compact 4-manifolds via generalized regular genus and G-degree
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2020**
- Crystallizations of compact 4-manifolds minimizing combinatorially defined PL-invariants
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola; Gagliardi, Carlo

abstract

**2019**
- Combinatorial properties of the G-degree
[Articolo su rivista]

Casali, M. R.; Grasselli, L.

abstract

**2018**
- G-degree for singular manifolds
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola; Grasselli, Luigi

abstract

**2018**
- TOPOLOGY IN COLORED TENSOR MODELS
[Poster]

Casali, M. R.; Cristofori, P.; Grasselli, L.

abstract

**2018**
- Topology in colored tensor models via crystallization theory
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola; Dartois, Stèphane; Grasselli, Luigi

abstract

**2017**
- Lower bounds for regular genus and gem-complexity of PL 4-manifolds
[Articolo su rivista]

Basak, B.; Casali, Maria Rita

abstract

**2016**
- Classifying PL 4-manifolds via crystallizations: results and open problems
[Capitolo/Saggio]

Casali, Maria Rita; Cristofori, Paola; Gagliardi, Carlo

abstract

**2016**
- GEOMETRIA
[Monografia/Trattato scientifico]

Casali, Maria Rita; Gagliardi, Carlo; Grasselli, Luigi

abstract

**2016**
- PL 4-manifolds admitting simple crystallizations: framed links and regular genus
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola; Gagliardi, Carlo

abstract

**2015**
- A note about complexity of lens spaces
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2015**
- Cataloguing PL 4-manifolds by gem-complexity
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2014**
- REVIEW OF: "Benedetti Riccardo - Petronio Carlo, Spin structures on 3-manifolds via arbitrary triangulations, Algebr. Geom. Topol. 14, No. 2, 1005-1054 (2014)". [DE062726187]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2014**
- REVIEW OF: "Fominykh Evgeny - Wiest Bert, Upper bounds for the complexity of torus knot complements, J. Knot Theory Ramifications 22, No. 10, Article ID 1350053, 19 p. (2013)". [DE062240723]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2014**
- REVIEW OF: "Kawauchi Akio, Splitting a 4-manifold with infinite cyclic fundamental group, revised, J. Knot Theory Ramifications 22, No. 14, Article ID 1350081, 9 p. (2013)". [DE062730205]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2014**
- REVIEW OF: "Taylor Scott A., Band-taut sutured manifolds, Algebr. Geom. Topol. 14, No. 1, 157-215 (2014)". [DE062342080]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2013**
- Coloured graphs representing PL 4-manifolds
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2013**
- Computing Matveev's complexity via crystallization theory: The boundary case
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2013**
- Gamma-class_4dim: A program to subdivide a set of rigid crystallizations of closed 4-manifolds into equivalence classes, whose elements represent PL-homeomorphic manifolds.
[Software]

Casali, Maria Rita; Cristofori, Paola

abstract

**2013**
- REVIEW OF: "Birman Joan - Brinkmann Peter - Kawamuro Keiko, Polynomial invariants of pseudo-Anosov maps, J. Topol. Anal. 4, No. 1, 13-47 (2012)". [DE060376660]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2013**
- REVIEW OF: "Jaco William - Rubinstein J.Hyam - Tillmann Stephan, Z2-Thurston norm and complexity of 3-manifolds, Math. Ann. 356, No. 1, 1-22 (2013)". [DE061684636]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2013**
- REVIEW OF: "Kotschick D. - Neofytidis, C., On three-manifolds dominated by circle bundles, Math. Z. 274, No. 1-2, 21-32 (2013)". [DE06176500X]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2013**
- REVIEW OF: "Li Tao, Rank and genus of 3-manifolds, J. Am. Math. Soc. 26, No. 3, 777-829 (2013)". [DE061686069]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2012**
- Catalogues of PL-manifolds and complexity estimations via crystallization theory
[Articolo su rivista]

Casali, Maria Rita

abstract

**2012**
- Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola; M., Mulazzani

abstract

**2012**
- REVIEW OF: "Burton Benjamin A., Maximal admissible faces and asymptotic bounds for the normal surface solution space, J. Comb. Theory, Ser. A 118, No. 4, 1410-1435 (2011)". [DE058788316]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2012**
- REVIEW of: "Friedl Stefan - Vidussi, Stefano, Twisted Alexander polynomials detect fibered 3-manifolds, Ann. Math. (2) 173, No. 3, 1587-1643 (2011)." [DE05960690X]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2012**
- REVIEW OF: "Garoufalidis Stavros, Knots and tropical curves, Champagnerkar, Abhijit (ed.) et al., Interactions between hyperbolic geometry, quantum topology and number theory. Proceedings of a workshop, June 3–13, 2009 and a conference, June 15–19, 2009, Columbia University, New York, NY, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218- 4960-6/pbk). Contemporary Mathematics 541, 83-101 (2011)." [DE059544674]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2012**
- REVIEW OF: "Schleimer Saul, The end of the curve complex, Groups Geom. Dyn. 5, No. 1, 169-176 (2011)". [DE059733321]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2012**
- REVIEW of: "Wong Helen, Quantum invariants can provide sharp Heegaard genus bounds, Osaka J. Math. 48, No. 3 (2011), 709-717". [DE059690467]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- Computational aspects of crystallization theory: complexity, catalogues and classifications of 3-manifolds
[Articolo su rivista]

Bandieri, Paola; Casali, Maria Rita; Cristofori, Paola; Grasselli, Luigi; M., Mulazzani

abstract

**2011**
- Gaifullin Alexander A., Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class [Recensione]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Howie James, Can Dehn surgery yield three connected summands?, Groups Geom. Dyn. 4, No. 4, 785-797 (2010)".[DE05880964X]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Kirk Paul, The impact of QFT on low-dimensional topology, Ocampo Hern\'an (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the summer school `Geometric and topological methods for quantum field theory', Villa de Leyva, Colombia, July 2--20, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-76482-7/hbk; 978-0-511-71797-0/ebook). 1-53 (2010)".[DE058315336]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Mroczkowski Maciej, Kauffman Bracket Skein module of the connected sum of two projective spaces, J. Knot Theory Ramifications 20, No. 5, 651-675 (2011)".[DE059180169]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Rafi Kasra - Schleimer Saul, Curve complexes are rigid, Duke Math. J. 158, No. 2, 225-246 (2011)".[DE059178142]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Spaggiari Fulvia, Regular genus and products of spheres, J. Korean Math. Soc. 47, No. 5, 925-934 (2010)".[DE057900743]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2011**
- REVIEW OF: "Takao Kazuto, A refinement of Johnson's bounding for the stable genera of Heegaard splittings, Osaka J. Math. 48, No. 1, 251-268 (2011)".[DE058823344]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2010**
- Characterization of minimal 3-manifolds by edge-coloured graphs
[Articolo su rivista]

Casali, Maria Rita

abstract

**2010**
- “Computational and Geometric Topology” - A conference in honour of Massimo Ferri and Carlo Gagliardi on their 60-th birthday.
[Altro]

Bandieri, Paola; Casali, Maria Rita; A., Cattabriga; Cristofori, Paola; P., Frosini; Grasselli, Luigi; Landi, Claudia; M., Mulazzani

abstract

**2010**
- GEOMETRIA
[Monografia/Trattato scientifico]

Casali, Maria Rita; Gagliardi, Carlo; Grasselli, Luigi

abstract

**2010**
- REVIEW OF: "Burton, Benjamin A., Converting between quadrilateral and standard solution sets in normal surface theory, Algebr. Geom. Topol. 9, No. 4, 2121-2174 (2009)". [DE056242025]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2010**
- REVIEW OF: "Hongler Cam Van Quach - Weber Claude, Link projections and flypes, Acta Math. Vietnam. 33, No. 3, 433-457 (2008)". [DE055891064]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2010**
- REVIEW OF: "Lee, Sang Youl; Seo, Myoungsoo, Formulas for the Casson invariant of certain integral homology 3-spheres, J. Knot Theory Ramifications 18, No. 11, 1551-1576 (2009)". [DE056622866]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2010**
- REVIEW of: "Todd Robert G., Khovanov homology and the twist number of alternating knots, J. Knot Theory Ramifications 18, No. 12, 1651-1662 (2009)". [DE056622768].
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Ayala R. - Fernández L.M. - Vilches J.A., Critical elements of proper discrete Morse functions, Mathematica Pannonica 19/2 (2008), 171-185" [DEB09154]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Cooper Daryl - Tillmann Stephan, The Thurston norm via normal surfaces,Pac. J. Math. 239, No. 1, 1-15 (2009)". [Zbl 1165.57018]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Dasbach Oliver T. - Lin, Xiao-Song, A volumish theorem for the Jones polynomial of alternating knots,Pac. J. Math. 231, No. 2, 279-291 (2007)". [Zbl 1166.57002]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Friedl S., Reidemeister torsion, the Thurston norm and Harvey's invariants, Pac. J. Math. 230, No. 2, 271-296 (2007)". [Zbl 1163.57008]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Perles Micha A - Martini Horst - Kupitz Yaakov S., A Jordan-Brouwer separation theorem for polyhedral pseudomanifolds, Discrete Comput. Geom. 42, No. 2, 277-304 (2009)" [Zbl pre05586556]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Repovš D. - Rosicki W. - Zastrow A. - Željko M., Constructing near-embeddings of codimension one manifolds with countable dense singular sets, Glas. Mat. III. Ser. 44 (1), 255-258 (2009)." [Zbl 1175.57016]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2009**
- REVIEW of: "Thomassen Carsten - Vella Antoine, Graph-like continua, augmenting arcs, and Menger's theorem, Combinatorica 28, No. 5, 595-623 (2008)". [Zbl pre05580969]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- A catalogue of orientable 3-manifolds triangulated by 30 coloured tetrahedra
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2008**
- CRYSTALLIZATION CATALOGUES AND ARCHIVES OF CLOSED 3-MANIFOLDS WITH LOW GEM-COMPLEXITY
[Software]

Casali, Maria Rita; Cristofori, Paola

abstract

**2008**
- Gamma-class: A program to subdivide a set of rigid crystallizations of closed 3-manifolds into equivalence classes, whose elements represent homeomorphic manifolds
[Software]

Casali, Maria Rita; Cristofori, Paola

abstract

**2008**
- Representing and recognizing 3-manifolds obtained from I-bundles over the Klein bottle
[Articolo su rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Balogh J. - Leanos J. - Pan S. - Richter R.B. -Salazar G., The convex hull of every optimal pseudolinear drawing of $K_n$ is a triangle, Australas. J. Comb. 38 (2007), 155-162".[Zbl 1138.05015]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Burton Benjamin A., Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find, Discrete Comput. Geom. 38 (3), 527-571". [Zbl 1133.57001]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Chen Yichao - Liu Yanpei, A note on lower bounds for maximum genus, Util. Math. 73 (2007), 23-31".[Zbl 1138.05016]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Falbel Elisha, A spherical CR structure on the complement of the figure eight knot with discrete holonomy, J. Differ. Geom. 79 (1) (2008), 69-110".[Zbl 1148.57025]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Flapan Erica - Naimi Ramin, The Y-triangle move does not preserve intrinsic knottedness, Osaka J. Math. 45 (1) (2008), 107-111".[Zbl 1145.05019]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Funar Louis, Surface cubications mod flips, Manuscr. Math. 125 (3), 285-307".[Zbl 1144.05022]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Hilden Mike - Montesinos Josè M. - Tejada Debora - Toro Margarita, Representing 3-manifolds by triangulations of S^3. I: a constructive approach, Rev. Colomb. Mat. 39 (2) (2005), 63-86". [Zbl 1130.57008]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Li Tao, Saddle tangencies and the distance of Heegaard splittings, Algebr. Geom. Topol. 7 (2007), 1119-1134". [Zbl 1134.57005]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Poenaru V. - Tanasi C., Some remarks on geometric simple connectivity in dimension four - part A, Rend. Semin. Mat. Torino 65 (3) (2007), 313-344". [Zbl 1150.57005]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Scharlemann Martin, Generalized property R and the Schoenflies conjecture, Comment. Math. Helv. 83 (1) (2008), 421-449". [Zbl 1148.57032]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REVIEW OF: "Taylor Scott A., On non-compact Heegaard splittings, Algebr. Geom. Topol. 7 (2007), 603-672". [Zbl 1134.57006]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2008**
- REWIEW OF: "Przytycki, Piotr, A The fixed point theorem for simplicial nonpositive curvature, Math. Proc. Camb. Philos. Soc. 144(3) (2008), 683-695"[Zbl 1152.20038]
[Recensione in Rivista]

Casali, Maria Rita

abstract

**2007**
- DUKE III: A program to handle edge-coloured graphs representing PL n-dimensional manifolds
[Software]

Casali, Maria Rita; Cristofori, Paola

abstract

**2007**
- Estimating Matveev's complexity via crystallization theory
[Articolo su rivista]

Casali, M. R.

abstract

**2007**
- TORUS BUNDLE: A program to construct edge-coloured graphs representing torus bundles over the circle.
[Software]

Casali, Maria Rita

abstract

**2006**
- c_GM: A program to compute GM-complexity of edge-coloured graphs representing closed 3-manifolds
[Software]

Casali, Maria Rita; Cristofori, Paola

abstract

**2006**
- Computing Matveev's complexity via crystallization theory: the orientable case
[Articolo su rivista]

Casali, Maria Rita; Cristofori, Paola

abstract

**2004**
- Computing Matveev’s complexity of non-orientable 3-manifolds via crystallization theory
[Articolo su rivista]

Casali, Maria Rita

abstract

**2004**
- Dotted links, Heegaard diagrams and coloured graphs for PL 4-manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**2004**
- Representing and recognizing torus bundles over S1
[Articolo su rivista]

Casali, Maria Rita

abstract

**2003**
- On the regular genus of 5-manifolds with free fundamental group
[Articolo su rivista]

Casali, Maria Rita

abstract

**2002**
- An equivalence criterion for PL-manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**2001**
- A code for m-bipartite edge-coloured graphs
[Articolo su rivista]

Casali, Maria Rita; Gagliardi, Carlo

abstract

**2001**
- Geometria
[Monografia/Trattato scientifico]

Casali, Maria Rita; Grasselli, Luigi; Gagliardi, Carlo

abstract

**2001**
- Representing manifolds by crystallization theory: foundations, improvements and related results
[Articolo su rivista]

Bandieri, Paola; Casali, Maria Rita; Gagliardi, Carlo

abstract

**2000**
- From framed links to crystallizations of bounded 4-manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**1998**
- Average order of coloured triangulations: The general case
[Articolo su rivista]

Casali, Maria Rita

abstract

**1998**
- Classification of nonorientable 3-manifolds admitting decompositions into <= 26 coloured tetrahedra
[Articolo su rivista]

Casali, Maria Rita

abstract

**1997**
- A combinatorial proof of Rohlin Theorem
[Articolo su rivista]

Casali, Maria Rita; Gagliardi, Carlo

abstract

**1997**
- An equivalence criterion for 3-manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**1997**
- Classifying PL 5-manifolds by regular genus: the boundary case
[Articolo su rivista]

Casali, Maria Rita

abstract

**1997**
- Geometric topology by crystallization theory: results and problems
[Articolo su rivista]

Casali, Maria Rita

abstract

**1997**
- Handle-decompositions of PL 4-manifolds
[Articolo su rivista]

Casali, Maria Rita; L., Malagoli

abstract

**1996**
- An infinite class of bounded 4-manifolds having regular genus three
[Articolo su rivista]

Casali, Maria Rita

abstract

**1996**
- Equivalenze combinatorie di varietà bidimensionali
[Articolo su rivista]

Casali, Maria Rita; R., Panisi

abstract

**1996**
- Sul genere regolare delle PL-varietà con gruppo fondamentale libero.
[Abstract in Atti di Convegno]

Casali, Maria Rita

abstract

**1995**
- A note about bistellar operations on PL-manifolds with boundary
[Articolo su rivista]

Casali, Maria Rita

abstract

**1995**
- A note about the closing S3 recognition algorithm
[Articolo su rivista]

Casali, Maria Rita

abstract

**1995**
- Coloured knots and coloured graphs representing 3-fold simple coverings of S3
[Articolo su rivista]

Casali, Maria Rita

abstract

**1994**
- Classifying PL 5-manifolds up to regular genus seven
[Articolo su rivista]

Casali, Maria Rita; Gagliardi, Carlo

abstract

**1994**
- The average edge order of 3-manifold coloured triangulations
[Articolo su rivista]

Casali, Maria Rita

abstract

**1993**
- A note on the characterization of handlebodies
[Articolo su rivista]

Casali, Maria Rita

abstract

**1993**
- A universal branching set for 4-dimensional manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**1992**
- A combinatorial characterization of 4-dimensional handlebodies
[Articolo su rivista]

Casali, Maria Rita

abstract

**1992**
- Two-fold branched coverings of S3 have type six
[Articolo su rivista]

Casali, Maria Rita

abstract

**1991**
- CLASSIFICAZIONE DELLE 5-VARIETA' P.L. CON GENERE REGOLARE <= 8
[Abstract in Atti di Convegno]

Casali, Maria Rita

abstract

**1991**
- 2-symmetric crystallizations and 2-fold branched coverings of S3
[Articolo su rivista]

Casali, Maria Rita; Grasselli, Luigi

abstract

**1990**
- Una caratterizzazione dei corpi di manici 3-dimensionali
[Articolo su rivista]

Casali, Maria Rita

abstract

**1990**
- Wave moves on crystallizations
[Articolo su rivista]

Casali, Maria Rita; Grasselli, Luigi

abstract

**1989**
- A catalogue of the genus two 3-manifolds
[Articolo su rivista]

Casali, Maria Rita

abstract

**1989**
- Representing branched coverings by edge coloured graphs
[Articolo su rivista]

Casali, Maria Rita; Grasselli, Luigi

abstract

**1988**
- Characterizing crystallizations among Lins-Mandel 4-coloured graphs
[Articolo su rivista]

Casali, Maria Rita; Grasselli, Luigi

abstract

**1987**
- Fundamental groups of branched covering spaces of S^3
[Articolo su rivista]

Casali, Maria Rita

abstract

**1987**
- LE 3-VARIETA' COME TRIPLI RIVESTIMENTI RAMIFICATI DI S^3
[Abstract in Atti di Convegno]

Casali, Maria Rita

abstract