10 citations · 25 across the 17 of their papers we have counts for
17 papers
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…
Superconnections and Bott-Chern valued Riemann-Roch-Grothendieck for complex orbifolds, I
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 on general complex orbifolds. We show the un…
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…
Deformations of cohesive modules on compact complex manifolds
Zhaoting Wei
Cohesive modules give a dg-enhancement of the bounded derived category of coherent sheaves on a complex manifold via superconnections. In this paper we discuss the deformation theo…
Coherent sheaves, superconnections, and RRG
Jean-Michel Bismut, Shu Shen, Zhaoting Wei
Given a compact complex manifold, the purpose of this paper is to construct the Chern character for coherent sheaves with values in Bott-Chern cohomology, and to prove a correspond…
Tensor-closed objects in the BGG category of a quantized semisimple Lie algebra
Zhaoting Wei
We consider the BGG category of a quantized universal enveloping algebra . We call a module tensor-closed if $M\otimes N\in\math…