Superconnection and Orbifold Chern character
Qiaochu Ma, Xiang Tang, Hsian-Hua Tseng, and Zhaoting Wei
TL;DR
This paper employs flat antiholomorphic superconnections to analyze orbifold Chern characters, establishing their uniqueness through a Riemann-Roch-Grothendieck theorem for orbifold embeddings, thus advancing the mathematical understanding of orbifold characteristic classes.
Contribution
It introduces a novel approach using superconnections to study orbifold Chern characters and proves their uniqueness via a new Riemann-Roch-Grothendieck theorem for orbifold embeddings.
Findings
Established the uniqueness of orbifold Chern character.
Proved a Riemann-Roch-Grothendieck theorem for orbifold embeddings.
Applied superconnection methods to orbifold characteristic classes.
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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Taxonomy
TopicsGeometry and complex manifolds · Quantum chaos and dynamical systems · Quantum optics and atomic interactions