On residue formulas for characteristic numbers

Francisco Gómez Ruiz

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 187-192
  • ISSN: 0137-6934

Abstract

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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 Q ( X , . . . , X r ) . This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.

How to cite

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Francisco Gómez Ruiz. "On residue formulas for characteristic numbers." Banach Center Publications 85.1 (2009): 187-192. <http://eudml.org/doc/282259>.

@article{FranciscoGómezRuiz2009,
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 $Q(X₁,..., X_r).$ This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.},
author = {Francisco Gómez Ruiz},
journal = {Banach Center Publications},
keywords = {toral action; characteristic class; fixed point set},
language = {eng},
number = {1},
pages = {187-192},
title = {On residue formulas for characteristic numbers},
url = {http://eudml.org/doc/282259},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Francisco Gómez Ruiz
TI - On residue formulas for characteristic numbers
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 187
EP - 192
AB - 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 $Q(X₁,..., X_r).$ This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.
LA - eng
KW - toral action; characteristic class; fixed point set
UR - http://eudml.org/doc/282259
ER -

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