English

Smooth classification of locally standard $T^k$-manifolds

Geometric Topology 2022-12-21 v2

Abstract

We study locally standard TkT^k-manifolds MM. In particular, we study the case where there is a continuous section to the orbit map π:MM/T\pi : M \rightarrow M/T. We give a classification of TkT^k-manifolds satisfying these conditions up to equivariant diffeomorphism.

Keywords

Cite

@article{arxiv.2011.10460,
  title  = {Smooth classification of locally standard $T^k$-manifolds},
  author = {Michael Wiemeler},
  journal= {arXiv preprint arXiv:2011.10460},
  year   = {2022}
}

Comments

8 pages, to appear in Osaka J. Math