Characterizing Dehn surgeries on links via trisections
| Autor: | Jeffrey Meier, Alexander Zupan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Multidisciplinary
Conjecture Property (philosophy) 010102 general mathematics Mathematics::History and Overview Geometric Topology (math.GT) 01 natural sciences Mathematics::Geometric Topology Trisections of Smooth Manifolds Special Feature Combinatorics Mathematics - Geometric Topology Dehn surgery Genus (mathematics) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Rectangle 0101 mathematics Heegaard splitting Mathematics::Symplectic Geometry Mathematics Counterexample |
| DOI: | 10.48550/arxiv.1707.08955 |
| Popis: | We summarize and expand known connections between the study of Dehn surgery on links and the study of trisections of closed, smooth 4-manifolds. In addition, we describe how the potential counterexamples to the Generalized Property R Conjecture given by Gompf, Scharlemann, and Thompson yield genus four trisections of the standard four-sphere that are unlikely to be standard. Finally, we give an analog of the Casson- Gordon Rectangle Condition for trisections that can be used to obstruct reducibility of a given trisection. Comment: 15 pages, 4 color figures. Comments welcome! |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|