TL;DR
This paper systematically develops index theory on Pin manifolds using Clifford linear Dirac operators and differential KO-theory, providing an expository overview of recent joint work.
Contribution
It introduces a comprehensive framework for index theory on Pin manifolds leveraging Clifford linear Dirac operators and differential KO-theory.
Findings
Established a systematic approach to index theory on Pin manifolds.
Connected Clifford linear Dirac operators with differential KO-theory.
Provided insights based on joint work with Mike Hopkins.
Abstract
We give a systematic treatment of index theory on Pin manifolds, based on the Clifford linear Dirac operator and differential KO-theory. This expository article is based on joint work with Mike Hopkins.
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
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis