A trace formula for compact manifolds
Author:
K. S. Sarkaria
Journal:
Trans. Amer. Math. Soc. 274 (1982), 85-88
MSC:
Primary 58A12; Secondary 53C65, 58G10
DOI:
https://doi.org/10.1090/S0002-9947-1982-0670920-5
MathSciNet review:
670920
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Abstract | References | Similar Articles | Additional Information
Abstract: An integral formula for the Euler characteristic is given, in which the data consists of a finite dimensional transitive vector space of vector fields and a volume form
supported in a small neighborhood of the origin of
.
- [1] 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, https://doi.org/10.2307/1970694
- [2] K. S. Sarkaria, A finiteness theorem for foliated manifolds, J. Math. Soc. Japan 30 (1978), no. 4, 687–696. MR 513077, https://doi.org/10.2969/jmsj/03040687
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1982-0670920-5
Article copyright:
© Copyright 1982
American Mathematical Society