A combinatorial formula for normal Stiefel-Whitney classes

Authors:
T. Banchoff and C. McCrory

Journal:
Proc. Amer. Math. Soc. **76** (1979), 171-177

MSC:
Primary 57R20

DOI:
https://doi.org/10.1090/S0002-9939-1979-0534413-3

MathSciNet review:
534413

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Abstract | References | Similar Articles | Additional Information

Abstract: Using an ordering of the vertices of a combinatorial *n*-manifold *K*, we give an explicit description of a simplicial cycle which represents the dual of the *i*th normal Stiefel-Whitney class of *K*.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0534413-3

Keywords:
Stiefel-Whitney class,
combinatorial manifold,
singularity cycle,
homology operation

Article copyright:
© Copyright 1979
American Mathematical Society