Three-manifolds with Heegaard genus at most two represented by crystallisations with at most 42 vertices

DOI10.1016/j.disc.2006.11.017zbMath1128.57020OpenAlexW1979444091MaRDI QIDQ2455582

Ján Karabáš, Peter Maličký, Roman Nedela

Publication date: 25 October 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2006.11.017

zbMATH Keywords

fundamental group3-manifoldfirst homology groupcrystallizationHeegaard genus

Mathematics Subject Classification ID

Triangulating manifolds (57Q15)

Related Items

An algorithmic method to compute plat slide moves in 3-manifolds of Heegaard genus two, A census of genus-two 3-manifolds up to 42 coloured tetrahedra

Uses Software

• GAP
• kbmag

Cites Work

• 2-symmetric crystallizations and 2-fold branched coverings of \(S^ 3\)
• Crystallisation moves
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• Classifying genus two 3-manifolds up to 34 tetrahedra
• 2-symmetric transformations for 3-manifolds of genus 2
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Groups Which Act on S n Without Fixed Point
• Tabulation of three-dimensional manifolds
• Algorithmic topology and classification of 3-manifolds
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