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arxiv: 0804.1933 · v2 · pith:FTX2GLL7new · submitted 2008-04-11 · 🧮 math.GT · math.AT

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

classification 🧮 math.GT math.AT
keywords wittbordismfieldhomologyintersectionspacesarbitrarycertain
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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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