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The Index of Hypoelliptic Operators on Foliated Manifolds

2008/11/12 by van Erp, Erik
#19K56 (Primary) #53C12 (Secondary) #58J20 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0811.1969

Abstract

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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