A+ CATEGORY SCIENTIFIC UNIT

On residue formulas for characteristic numbers

Volume 85 / 2009

Francisco Gómez Ruiz Banach Center Publications 85 (2009), 187-192 MSC: Primary 57R20, 57S15; Secondary 55R25. 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.

Authors

  • Francisco Gómez RuizDepartamento de Álgebra
    Geometría y Topología
    Universidad de Málaga
    Ap. 59
    29080 Málaga, Spain
    e-mail

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