Work

Superconnections and Bott-Chern valued Riemann-Roch-Grothendieck for complex orbifolds, I

Year: 2026

Type: article

Abstract: 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.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2026.111366

Authors: Qiaochu Ma, Xiang Tang, Hsian-Hua Tseng, Zhaoting Wei

Institutions: Texas A&M University, Washington University in St. Louis, The Ohio State University, East Texas A&M University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funders: National Science Foundation, Simons Foundation