A trace formula for compact manifolds

Sarkaria, K. S.

doi:10.1090/S0002-9947-1982-0670920-5

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A trace formula for compact manifolds
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by K. S. Sarkaria PDF

Trans. Amer. Math. Soc. 274 (1982), 85-88 Request permission

Abstract:

An integral formula for the Euler characteristic is given, in which the data consists of a finite dimensional transitive vector space $V$ of vector fields and a volume form $\Omega$ supported in a small neighborhood of the origin of $V$.

References

M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I, Ann. of Math. (2) 86 (1967), 374–407. MR 212836, DOI 10.2307/1970694
K. S. Sarkaria, A finiteness theorem for foliated manifolds, J. Math. Soc. Japan 30 (1978), no. 4, 687–696. MR 513077, DOI 10.2969/jmsj/03040687