The Index of Hypoelliptic Operators on Foliated Manifolds

Details The Index of Hypoelliptic Operators on Foliated Manifolds The Index of Hypoelliptic Operators on Foliated Manifolds

2008-11-12

arxiv.org/abs/0811.1969v2

Mathematics

Differential Geometry

15 pages

Scientific paper

We present an index theorem for certain hypoelliptic differential operators
on foliated manifolds. Our proof is a development of Alain Connes tangent
groupoid proof of the Atiyah-Singer index theorem. The paper is largely
self-contained.

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