English

Torus actions on oriented manifolds of generalized odd type

Differential Geometry 2019-07-15 v1

Abstract

Landweber and Stong prove that if a closed spin manifold MM admits a smooth S1S^1-action of odd type, then its signature sign(M)\mathrm{sign}(M) vanishes. In this paper, we extend the result to a torus action on a closed oriented manifold with generalized odd type.

Keywords

Cite

@article{arxiv.1812.03433,
  title  = {Torus actions on oriented manifolds of generalized odd type},
  author = {Donghoon Jang},
  journal= {arXiv preprint arXiv:1812.03433},
  year   = {2019}
}
R2 v1 2026-06-23T06:36:30.554Z