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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


A combinatorial formula for the Pontrjagin classes

Authors: I. M. GelЬfand and R. D. MacPherson
Journal: Bull. Amer. Math. Soc. 26 (1992), 304-309
MSC (2000): Primary 57R20; Secondary 05B35
MathSciNet review: 1129313
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Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

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  • [GGL] A. M. Gabrièlov, I. M. Gel′fand, and M. V. Losik, Combinatorial computation of characteristic classes. I, II, Funkcional. Anal. i Priložen. 9 (1975), no. 2, 12–28; ibid. 9 (1975), no. 3, 5–26 (Russian). MR 0410758 (53 #14504a)
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  • [N] Norman Levitt, Grassmannians and Gauss maps in piecewise-linear topology, Lecture Notes in Mathematics, vol. 1366, Springer-Verlag, Berlin, 1989. MR 989273 (90e:57042)

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Additional Information

PII: S 0273-0979(1992)00282-3
Article copyright: © Copyright 1992 American Mathematical Society

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