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

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

We construct geometric examples of pseudomanifolds that satisfy the Witt condition for intersection homology Poincaré duality with respect to certain fields but not others. We then compute the bordism theory of K‐Witt spaces for an arbitrary field K, extending results of Siegel for K = ℚ. © 2008 Wil...

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Veröffentlicht in:Communications on pure and applied mathematics 2009-09, Vol.62 (9), p.1265-1292
1. Verfasser: Friedman, Greg
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Euclidean space
Exact sciences and technology
Geometry
K-theory
Mathematical analysis
Mathematics
Sciences and techniques of general use
Theoretical mathematics
Topological manifolds
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Zusammenfassung:We construct geometric examples of pseudomanifolds that satisfy the Witt condition for intersection homology Poincaré duality with respect to certain fields but not others. We then compute the bordism theory of K‐Witt spaces for an arbitrary field K, extending results of Siegel for K = ℚ. © 2008 Wiley Periodicals, Inc.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.20291