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Experimental Mathematics Volume 10, 2001 - Issue 2
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Original Articles

Three-Manifolds Having Complexity At Most 9

Bruno Martelli Dipartimento di Matematica, Universita di Firenze, Viale Morgagni 67a, 50134, Firenze, Italy E-mail: [email protected]
&
Carlo Petronio Dipartimento di Matematica Applicata, Università di Pisa, Via Bonanno Pisano 25/B, 56126, Pisa, Italy E-mail: [email protected]
Pages 207-236 | Published online: 04 Apr 2012

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BenjaminA. Burton. (2004) Introducing Regina, The 3-Manifold Topology Software. Experimental Mathematics 13:3, pages 267-272.
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Roberto Frigerio, Bruno Martelli & Carlo Petronio. (2004) Small Hyperbolic 3-Manifolds With Geodesic Boundary. Experimental Mathematics 13:2, pages 171-184.
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Articles from other publishers (29)

Lee Lindblom, Oliver Rinne & Nicholas W. Taylor. (2022) Building three-dimensional differentiable manifolds numerically. Journal of Computational Physics 460, pages 110957.
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Alberto Cavicchioli & Fulvia Spaggiari. (2021) On reduced complexity of closed piecewise linear 5-manifolds. Periodica Mathematica Hungarica 83:2, pages 144-158.
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Андрей Юрьевич Веснин, Andrei Yurievich Vesnin, Сергей Владимирович Матвеев, Sergei Vladimirovich Matveev, Евгений Анатольевич Фоминых & Evgeny Anatol'evich Fominykh. (2018) Новые аспекты теории сложности трехмерных многообразийNew aspects of the complexity theory of 3D manifolds. Успехи математических наук Uspekhi Matematicheskikh Nauk 73:4(442), pages 53-102.
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Michelle Bucher, Roberto Frigerio & Cristina Pagliantini. (2015) The simplicial volume of 3-manifolds with boundary. Journal of Topology 8:2, pages 457-475.
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William Jaco & J. Hyam Rubinstein. (2014) Inflations of ideal triangulations. Advances in Mathematics 267, pages 176-224.
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Benjamin A. Burton. (2014) A New Approach to Crushing 3-Manifold Triangulations. Discrete & Computational Geometry 52:1, pages 116-139.
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Benjamin A. Burton & William Pettersson. 2014. Computing and Combinatorics. Computing and Combinatorics 300 311 .
William Jaco, J. Hyam Rubinstein & Stephan Tillmann. (2012) $$\mathbb Z _2$$ -Thurston norm and complexity of 3-manifolds. Mathematische Annalen 356:1, pages 1-22.
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Maria Rita Casali, Paola Cristofori & Michele Mulazzani. (2012) Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams. Topology and its Applications 159:13, pages 3042-3048.
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Gennaro Amendola. (2011) Moves for standard skeleta of 3-manifolds with marked boundary. Geometriae Dedicata 158:1, pages 301-321.
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E. A. Fominykh. (2011) Dehn surgeries on the figure eight knot: An upper bound for complexity. Siberian Mathematical Journal 52:3, pages 537-543.
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B. Martelli. (2010) Four-manifolds with Shadow-complexity Zero. International Mathematics Research Notices.
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Bruno Martelli. (2010) Complexity of PL manifolds. Algebraic & Geometric Topology 10:2, pages 1107-1164.
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PAOLA BANDIERI, PAOLA CRISTOFORI & CARLO GAGLIARDI. (2011) NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA. Journal of Knot Theory and Its Ramifications 18:03, pages 381-395.
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Francesco Costantino & Dylan Thurston. (2008) 3-manifolds efficiently bound 4-manifolds. Journal of Topology 1:3, pages 703-745.
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MARIA RITA CASALI & PAOLA CRISTOFORI. (2011) A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA. Journal of Knot Theory and Its Ramifications 17:05, pages 579-599.
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BENJAMIN A. BURTON. (2011) STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS. Journal of Knot Theory and Its Ramifications 16:05, pages 545-574.
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Maria Rita Casali. (2007) Estimating Matveev's complexity via crystallization theory. Discrete Mathematics 307:6, pages 704-714.
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Maria Rita Casali & Paola Cristofori. (2006) Computing Matveev?s Complexity via Crystallization Theory: The Orientable Case. Acta Applicandae Mathematicae 92:2, pages 113-123.
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A. D. Mednykh & C. Petronio. (2006) Hyperbolic 3-manifolds with geodesic boundary: Enumeration and volume calculation. Proceedings of the Steklov Institute of Mathematics 252:1, pages 155-171.
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Paola Bandieri, Carlo Gagliardi & Laura Ricci. (2005) Classifying Genus Two 3-Manifolds up to 34 Tetrahedra. Acta Applicandae Mathematicae 86:3, pages 267-283.
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?????? ???????????? ???????Sergei Vladimirovich Matveev. (2005) ????????????? ?????????? ????????????Tabulation of three-dimensional manifolds. ?????? ?????????????? ???? Uspekhi Matematicheskikh Nauk 60:4, pages 97-122.
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BENJAMIN A. BURTON. (2011) FACE PAIRING GRAPHS AND 3-MANIFOLD ENUMERATION. Journal of Knot Theory and Its Ramifications 13:08, pages 1057-1101.
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Maria Rita Casali. (2004) Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory. Topology and its Applications 144:1-3, pages 201-209.
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Bruno Martelli & Carlo Petronio. (2004) Complexity of Geometric Three-manifolds. Geometriae Dedicata 108:1, pages 15-69.
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Gennaro Amendola & Bruno Martelli. (2003) Non-orientable 3-manifolds of small complexity. Topology and its Applications 133:2, pages 157-178.
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Roberto Frigerio, Bruno Martelli & Carlo Petronio. (2003) Complexity and Heegaard genus of an infinite class of compact 3-manifolds. Pacific Journal of Mathematics 210:2, pages 283-297.
Crossref
Tomotada Ohtsuki. (2002) Problems on invariants of knots and 3–manifolds. Problems on invariants of knots and 3–manifolds.
Sergei Matveev. 2001. Digital and Image Geometry. Digital and Image Geometry 59 74 .

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