English

Seiberg-Witten Floer spectra for $b_1>0$

Geometric Topology 2025-03-11 v2 Differential Geometry

Abstract

We construct a generalization of the Seiberg-Witten Floer spectrum for suitable three-manifolds YY with b1(Y)>0b_1(Y)>0. For a cobordism between three-manifolds we define Bauer-Furuta maps on these new spectra, and additionally compute some examples.

Keywords

Cite

@article{arxiv.2103.16536,
  title  = {Seiberg-Witten Floer spectra for $b_1>0$},
  author = {Hirofumi Sasahira and Matthew Stoffregen},
  journal= {arXiv preprint arXiv:2103.16536},
  year   = {2025}
}

Comments

161 pages

R2 v1 2026-06-24T00:42:11.657Z