The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator

DOI10.1007/978-0-8176-8247-7zbMath1222.58014OpenAlexW4298447277MaRDI QIDQ549098

J. J. Duistermaat

Publication date: 7 July 2011

Published in: Modern Birkhäuser Classics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-8247-7

zbMATH Keywords

asymptoticssymplectic geometryDirac operatororbifoldsalmost complex structureLefschetz numberheat kernelsClifford bundlesHirzebruch-Riemann-Roch numberRiemann-Roch number

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

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