English

Rank conditions for finite group Actions on 4-Manifolds

Algebraic Topology 2021-01-20 v2 Geometric Topology

Abstract

Let M be a closed, connected, orientable topological 4-manifold, and G be a finite group acting topologically and locally linearly on M. In this paper we investigate the Borel spectral sequence for the G-equivariant cohomology of M, and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.

Keywords

Cite

@article{arxiv.1911.10933,
  title  = {Rank conditions for finite group Actions on 4-Manifolds},
  author = {Ian Hambleton and Semra Pamuk},
  journal= {arXiv preprint arXiv:1911.10933},
  year   = {2021}
}

Comments

22 pages (v2). Accepted for publication in the Canadian Journal of Mathematics