Abstract
We use equivariant localization techniques to give a rigorous interpretation of the Witten genus as an integral over the double loop space. This provides a geometric explanation for its modularity properties. It also reveals an interplay between the geometry of double loop spaces and complex analytic elliptic cohomology. In particular, we identify a candidate target for the elliptic Bismut–Chern character.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 401-430 |
| Number of pages | 30 |
| Journal | Journal of Differential Geometry |
| Volume | 126 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 2024 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology