The Heisenberg calculus, index theory and cyclic cohomology
نویسندگان
چکیده
A hypoelliptic operator in the Heisenberg calculus on a compact contact manifold is Fredholm operator. Its symbol determines an element K-theory of noncommutative algebra symbols. We construct periodic cyclic cocycle which, when paired with Connes-Chern character principal symbol, calculates index. Our index formula local, i.e. given as local expression terms and connection TM its curvature. prove our by reduction to Boutet de Monvel's theorem for Toeplitz operators.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108229