English

Superconnection and Orbifold Chern character

Differential Geometry 2025-11-12 v2 Algebraic Geometry

Abstract

We use flat antiholomorphic superconnections to study orbifold Chern character following the method introduced by Bismut, Shen, and Wei. We show the uniqueness of orbifold Chern character by proving a Riemann-Roch-Grothendieck theorem for orbifold embeddings.

Keywords

Cite

@article{arxiv.2505.13912,
  title  = {Superconnection and Orbifold Chern character},
  author = {Qiaochu Ma and Xiang Tang and Hsian-Hua Tseng and Zhaoting Wei},
  journal= {arXiv preprint arXiv:2505.13912},
  year   = {2025}
}

Comments

61 pages. Definition 4.5 about coherent sheaf is corrected

R2 v1 2026-07-01T02:23:57.499Z