Embedding surfaces in 4-manifolds
Embedding surfaces in 4-manifolds
We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces.
math.GT, 57K40, 57N35
Kasprowski, Daniel
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Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ray, Arunima
83cc0cbe-d85d-46f1-90ea-e67bc44386b8
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ray, Arunima
83cc0cbe-d85d-46f1-90ea-e67bc44386b8
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
Kasprowski, Daniel, Powell, Mark, Ray, Arunima and Teichner, Peter
(2023)
Embedding surfaces in 4-manifolds.
Geometry & Topology.
(In Press)
Abstract
We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces.
Text
Embedding surfaces
- Accepted Manuscript
More information
Accepted/In Press date: 31 March 2023
Keywords:
math.GT, 57K40, 57N35
Identifiers
Local EPrints ID: 476178
URI: http://eprints.soton.ac.uk/id/eprint/476178
ISSN: 1465-3060
PURE UUID: 4007e754-6416-4b68-bbfe-d47fb0dff682
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Date deposited: 13 Apr 2023 16:42
Last modified: 17 Mar 2024 04:19
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Contributors
Author:
Daniel Kasprowski
Author:
Mark Powell
Author:
Arunima Ray
Author:
Peter Teichner
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