On an index theorem by Bismut

2015/01/07 by Man-Ho Ho, Ho, Man-Ho
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.DG #math.KT

paper · pdf · doi:10.48550/arxiv.1501.01357

6 pages. Comments are welcome. Revised version. Submitted for publication

openalex publication_date 2015/01/07 · arxiv created 2015/07/16 · arxiv updated 2015/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a proof of an index theorem by Bismut. As a consequence we obtain another proof of the Grothendieck-Riemann-Roch theorem in differential cohomology.

Related

• Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry
• Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles II
• A higher index theorem for foliated manifolds with boundary
• The Diederich--Fornæss index II: for domains of trivial index
• Index theorem for inhomogeneous hypoelliptic differential operators