English

Surgery on closed 4-manifolds with free fundamental group

Geometric Topology 2009-11-07 v1

Abstract

Even though the disk embedding theorem is not available in dimension 4 for free fundamental groups, some surgery problems may be shown to have topological solutions. We prove that surgery problems may be solved if one considers closed 4-manifolds and the intersection pairing is extended from the integers, and prove a related splitting result.

Keywords

Cite

@article{arxiv.math/0103018,
  title  = {Surgery on closed 4-manifolds with free fundamental group},
  author = {Vyacheslav S. Krushkal and Ronnie Lee},
  journal= {arXiv preprint arXiv:math/0103018},
  year   = {2009}
}

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7 pages