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Doubly pointed trisection diagrams and surgery on 2-knots
- Source :
- Math. Proc. Camb. Phil. Soc. 172 (2022) 163-195
- Publication Year :
- 2018
-
Abstract
- We study embedded spheres in 4-manifolds (2-knots) via doubly pointed trisection diagrams, showing that such descriptions are unique up to stabilization and handleslides, and we describe how to obtain trisection diagrams for certain cut-and-paste operations along 2-knots directly from doubly pointed trisection diagrams. The operations described are classical surgery, Gluck surgery, blowdown, and $(\pm4)$-rational blowdown, and we illustrate our techniques and results with many examples.<br />Comment: 33 pages, 22 figures
- Subjects :
- Mathematics - Geometric Topology
Subjects
Details
- Database :
- arXiv
- Journal :
- Math. Proc. Camb. Phil. Soc. 172 (2022) 163-195
- Publication Type :
- Report
- Accession number :
- edsarx.1806.05351
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1017/S0305004121000165