K-Witt bordism in characteristic 2

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.

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