Toeplitz operators, analytic torsion, and the hypoelliptic Laplacian

DOI10.1007/s11005-016-0886-yzbMath1386.58017OpenAlexW2519217461WikidataQ126112023 ScholiaQ126112023MaRDI QIDQ505638

Jean-Michel Bismut

Publication date: 26 January 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-016-0886-y

zbMATH Keywords

Selberg trace formulahypoelliptic equationsindex theory and related fixed point theorems

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hypoelliptic equations (35H10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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