English

An invariant of rational homology 3-spheres via vector fields

Geometric Topology 2016-12-21 v1

Abstract

We define an invariant of rational homology 3-spheres via vector fields. The construction of our invariant is a generalization of both that of the Kontsevich-Kuperberg-Thurston invariant and that of Watanabe's Morse homotopy invariant, which implies the equivalence of these two invariants.

Keywords

Cite

@article{arxiv.1311.1863,
  title  = {An invariant of rational homology 3-spheres via vector fields},
  author = {Tatsuro Shimizu},
  journal= {arXiv preprint arXiv:1311.1863},
  year   = {2016}
}

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27 pages