Superconnections and Bott-Chern valued Riemann-Roch-Grothendieck for complex orbifolds, I
We use flat antiholomorphic superconnections to study orbifold Chern character following the method introduced by Bismut, Shen, and Wei on general complex orbifolds. We show the uniqueness of orbifold Chern character by proving a Riemann-Roch-Grothendieck theorem for orbifold embeddings.
Authors
- Zhaoting Wei (ORCID: https://orcid.org/0000-0002-1765-8808)
- Xiang Tang (ORCID: https://orcid.org/0000-0001-7702-2601)
- Hsian‐Hua Tseng (ORCID: https://orcid.org/0000-0002-3856-9660)
- Qiaochu Ma
Institutions
- Washington University in St. Louis (US)
- East Texas A&M University (US)
- The Ohio State University (US)
- Texas A&M University (US)
Publication Details
- Journal
- Advances in Mathematics
- Published
- 2026-10-30
- DOI
- https://doi.org/10.1016/j.aim.2026.111366
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation