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math.ATApr 1, 1992
4
citations (OpenAlex)
authors
  • Israel M. Gelfand
  • Robert D. MacPherson
institutions
  • Massachusetts Institute of Technology
  • Rutgers, The State University of New Jersey
arXiv abstractPDF
paper

A combinatorial formula for the Pontrjagin classes

arXiv:math/9204231

Abstract

A combinatorial formula for the Pontrjagin classes of a triangulated manifold is given. The main ingredients are oriented matroid theory and a modified formulation of Chern-Weil theory.

6 pages

Cited by in corpus (2)

  • The Algebra of Chern-Simons Classes and the Poisson Bracket on it
  • A counterexample to Las Vergnas' strong map conjecture on realizable oriented matroids
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