Some modifications of Getzler's grading technique

DOI10.1016/J.DIFGEO.2022.101955OpenAlexW4307395441WikidataQ115354236 ScholiaQ115354236MaRDI QIDQ2099445

Andrés Larraín-Hubach

Publication date: 23 November 2022

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00379

zbMATH Keywords

Dirac operatorheat kernelindex theoremoperator traceGetzler grading

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

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• Asymptotics of the eta invariant
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• Complex immersions and Quillen metrics
• Holomorphic Morse inequalities and Bergman kernels

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