New constructions related to the polynomial sphere recognition problem

DOI10.1007/s00454-022-00386-9OpenAlexW3006979481WikidataQ114229304 ScholiaQ114229304MaRDI QIDQ2136838

Johannes Carmesin, Lyuben Lichev

Publication date: 16 May 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00442

zbMATH Keywords

contractionembeddability2-complex3-spacecuboid complex

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Combinatorial aspects of simplicial complexes (05E45) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Integer homology 3-spheres admit irreducible representations in \(\mathrm{SL}(2,{\mathbb C})\)
• Thin position and the recognition problem for \(S^ 3\)
• Extremal examples of collapsible complexes and random discrete Morse theory
• A Nonpolyhedral Triangulated Mobius Strip
• Knots are determined by their complements
• Embeddability in $\mathbb{R}^3$ is NP-hard
• The Parameterized Complexity of Finding a 2-Sphere in a Simplicial Complex

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