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.

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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

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article

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

Zhaoting Wei, Xiang Tang, Hsian‐Hua Tseng, Qiaochu Ma
Advances in Mathematics
Geometry and complex manifolds
article

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

Zhaoting Wei, Xiang Tang, Hsian‐Hua Tseng, Qiaochu Ma
article en

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.

Advances in MathematicsVol. 507
Washington University in St. Louis (US), East Texas A&M University (US), The Ohio State University (US), Texas A&M University (US)
National Science Foundation, Simons Foundation
Openalex Percentile: Top 7%
Geometry and complex manifolds
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