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  A new combinatorial class of 3-manifold triangulations

Luo, F., & Tillmann, S. (2017). A new combinatorial class of 3-manifold triangulations. Asian Journal of Mathematics, 21(3), 543-570. doi:10.4310/AJM.2017.v21.n3.a7.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000C-C2A3-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000C-C2A4-F
Genre: Journal Article

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Luo-Tillmann_A new combinatorial class of 3-manifold triangulations_2017.pdf (Publisher version), 336KB
 
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https://dx.doi.org/10.4310/AJM.2017.v21.n3.a7 (Publisher version)
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 Creators:
Luo, Feng, Author
Tillmann, Stephan1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology
 Abstract: We define a new combinatorial class of triangulations of closed 3-manifolds, satisfying a weak version of 0-efficiency combined with a weak version of minimality, and study them using twisted squares. As an application, we obtain strong restrictions on the topology of a 3-manifold from the existence of non-smooth maxima of the volume function on the space of circle-valued angle structures.

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Language(s): eng - English
 Dates: 2017
 Publication Status: Issued
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1312.5087
DOI: 10.4310/AJM.2017.v21.n3.a7
 Degree: -

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Title: Asian Journal of Mathematics
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 21 (3) Sequence Number: - Start / End Page: 543 - 570 Identifier: -