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The longitudinal index theorem for foliations (1984)
by
A. Connes
,
G. Skandalis
| Venue: | PROC. RES. INST. MATH. SCI., KYOTO UNIV |
| Citations: | 79 - 2 self |
BibTeX
@ARTICLE{Connes84thelongitudinal,
author = {A. Connes and G. Skandalis},
title = {The longitudinal index theorem for foliations},
journal = {PROC. RES. INST. MATH. SCI., KYOTO UNIV},
year = {1984}
}
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Abstract
In this paper, we use the bivariant K theory of Kasparov ([19]) as a basic tool to prove the K-theoretical version of the index theorem for longitudinal elliptic differential operators for foliations which is stated as a problem in [10], Section 10. When the foliation is by the fibers of a fibration, this theorem reduces to the Atiyah-Singer index theorem for families ([2], Theorem 3.1). It implies the index theorem for measured
