Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry

DOI10.1007/978-3-319-00128-9zbMath1273.58001OpenAlexW2486453338MaRDI QIDQ1944022

Jean-Michel Bismut

Publication date: 4 April 2013

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00128-9

zbMATH Keywords

heat equationDirac operatorsupersymmetryhypoellipticityLevi-Civita connectionadiabatic limitBott-Chern cohomologyAtiyah-Singer index theoremRiemann-Roch-Grothendieck theoremcomplex Hermitian geometryelliptic Quillen metricexotic superconnection

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Holomorphic bundles and generalizations (32L05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Index theory (19K56)

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