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arXiv · 2102.08129

Coherent sheaves, superconnections, and RRG

Jean-Michel Bismut·Shu Shen·Zhaoting Wei
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Abstract

Given a compact complex manifold, the purpose of this paper is to construct the Chern character for coherent sheaves with values in Bott-Chern cohomology, and to prove a corresponding Riemann-Roch-Grothendieck formula. Our paper is based on a fundamental construction of Block.

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BibTeXRIS

Jean-Michel Bismut, Shu Shen, Zhaoting Wei. 2021-02-16. Coherent sheaves, superconnections, and RRG. https://doi.org/10.1007/978-3-031-27234-9

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