3 papers
math.QA2026
Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line
Mary Graveman, Landen La Rue, Lillian MacArthur +2
In this paper we study non-standard holomorphic structures on line bundles over the quantum projective line . We show that there exist infinitely many non-gauge e…
math.DG2025
Superconnection and Orbifold Chern character
Qiaochu Ma, Xiang Tang, Hsian-Hua Tseng +1
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 ch…
math.AG2024
Residue currents of cohesive modules and the generalized Poincaré-Lelong formula on complex manifolds
Zhaoting Wei
Cohesive module provides a tool to study coherent sheaves on complex manifolds by global analytic methods. In this paper we develop the theory of residue currents for cohesive modu…