Superconnection and Orbifold Chern character

2025/05/20 by Qiaochu Ma, Ma, Qiaochu, Xiang Tang +5
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Quantum chaos and dynamical systems #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2505.13912

openalex publication_date 2025/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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