Intersection homology with field coefficients: $K$-Witt spaces and $K$-Witt bordism

Details Intersection homology with field coefficients: $K$-Witt spaces and $K$-Witt bordism Intersection homology with field coefficients: $K$-Witt spaces and $K$-Witt bordism

2008-04-11

arxiv.org/abs/0804.1933v2

Communications on Pure and Applied Mathematics 62 (2009), 1265-1292

Mathematics

Geometric Topology

26 pages; also available at http://faculty.tcu.edu/gfriedman/ - Corrected version (proof of Lemma 4.11 corrected)

Scientific paper

We construct geometric examples of pseudomanifolds that satisfy the Witt
condition for intersection homology Poincare duality with respect to certain
fields but not others. We also compute the bordism theory of $K$-Witt spaces
for an arbitrary field $K$, extending results of Siegel for $K=Q$.

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