Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory

DOI10.1016/j.topol.2004.04.010zbMath1059.57010OpenAlexW2056825190MaRDI QIDQ1886717

Maria Rita Casali

Publication date: 19 November 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.04.010

zbMATH Keywords

complexityspinecrystallizationHeegaard diagramnon-orientable 3-manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Topology of infinite-dimensional manifolds (57N20)

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Lower bounds for regular genus and gem-complexity of PL 4-manifolds, Compact 3-manifolds via 4-colored graphs, Estimating Matveev's complexity via crystallization theory, Cataloguing PL 4-manifolds by gem-complexity, A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA, Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams, Classifying genus two 3-manifolds up to 34 tetrahedra, Non-orientable 3-manifolds of complexity up to 7, PL 4-manifolds admitting simple crystallizations: framed links and regular genus, Computing Matveev's complexity via crystallization theory: the orientable case, NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA, COMPUTING MATVEEV'S COMPLEXITY VIA CRYSTALLIZATION THEORY: THE BOUNDARY CASE

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