The Index of Hypoelliptic Operators on Foliated Manifolds
classification
🧮 math.DG
math.FA
keywords
indexfoliatedhypoellipticmanifoldsoperatorsprooftheoremalain
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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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