TL;DR
This paper provides a proof of Bismut's index theorem and offers an alternative proof of the Grothendieck-Riemann-Roch theorem within differential cohomology, advancing mathematical understanding in these areas.
Contribution
It presents a new proof of Bismut's index theorem and derives an alternative proof of the Grothendieck-Riemann-Roch theorem in differential cohomology.
Findings
Proof of Bismut's index theorem
Alternative proof of Grothendieck-Riemann-Roch in differential cohomology
Enhanced understanding of index theorems in differential geometry
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research