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On residue formulas for characteristic numbers
Francisco Gómez Ruiz1
Banach Center Publ. 85 (2009), 187-192
doi:10.4064/bc85-0-13
Abstract: We show that coefficients of residue formulas for characteristic numbers associated to a smooth toral action on a manifold can be taken in a quotient field ${\bf Q}(X_1,\ldots ,X_r).$ This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.

MSC (2010): Primary 57R20, 57S15; Secondary 55R25.
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  1. Departamento de Álgebra
    Geometría y Topología
    Universidad de Málaga
    Ap. 59
    29080 Málaga, Spain