English

K-Witt bordism in characteristic 2

Geometric Topology 2013-11-13 v1 Algebraic Topology

Abstract

This note provides a computation of the bordism groups of K-Witt spaces for fields K with characteristic 2. We provide a complete computation for the unoriented bordism groups. For the oriented bordism groups, a nearly complete computation is provided as well a discussion of the difficulty of resolving a remaining ambiguity in dimensions equivalent to 2 mod 4. This corrects an error in the char(K)=2 case of the author's prior computation of the bordism groups of K-Witt spaces for an arbitrary field K.

Cite

@article{arxiv.1208.3683,
  title  = {K-Witt bordism in characteristic 2},
  author = {Greg Friedman},
  journal= {arXiv preprint arXiv:1208.3683},
  year   = {2013}
}

Comments

7 pages; this paper provides detailed corrections to an error in "Intersection homology with field coefficients: $K$-Witt spaces and $K$-Witt bordism", arXiv:0804.1933v2

R2 v1 2026-06-21T21:52:20.616Z