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Journal Article

Embedding surfaces in 4-manifolds

MPS-Authors
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Kasprowski,  Daniel
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236018

Powell,  Mark
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236053

Ray,  Arunima
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236317

Teichner,  Peter
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.2201.03961
(Preprint)

http://dx.doi.org/10.2140/gt.2024.28.2399
(Publisher version)

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Citation

Kasprowski, D., Powell, M., Ray, A., & Teichner, P. (2024). Embedding surfaces in 4-manifolds. Geometry & Topology, 28(5), 2399-2482. doi:10.2140/gt.2024.28.2399.


Cite as: https://hdl.handle.net/21.11116/0000-000D-013B-0
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.