On diagrams of simplified trisections and mapping class groups

zbMath1481.57028arXiv1711.02790MaRDI QIDQ2176713

Kenta Hayano

Publication date: 5 May 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02790

zbMATH Keywords

mapping class groupsimplified trisectiontrisection diagram

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38) Surgery and handlebodies (57R65) Singularities of differentiable mappings in differential topology (57R45) General topology of 4-manifolds (57K40)

Related Items (4)

Simplifying indefinite fibrations on 4-manifolds ⋮ Vertical 3-manifolds in simplified genus-2 trisections of 4-manifolds ⋮ RIGHT-LEFT EQUIVALENT MAPS OF SIMPLIFIED (2,<i> </i>0)-TRISECTIONS WITH DIFFERENT CONFIGURATIONS OF VANISHING CYCLES ⋮ Nielsen equivalence and trisections

Cites Work

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• Genus-two trisections are standard
• Singular Lefschetz pencils
• Teichmüller theory for surfaces with boundary
• The Topological Structure of 4-Manifolds with Effective Torus Actions. I
• Simplified broken Lefschetz fibrations and trisections of 4-manifolds
• Elimination of cusps in dimension 4 and its applications

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