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
MathSciNet review: 670920
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 .
-  M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I, Ann. of Math. (2) 86 (1967), 374–407. MR 0212836, https://doi.org/10.2307/1970694
-  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