6 papers
Moduli Spaces of Connections and B-fields from T-duality with H-flux
Fei Han, Pedram Hekmati, Tsuyoshi Kato +1
We study the geometry of mixed fields, consisting of a connection and a -field on a principal circle bundle over a Riemann surface, from the perspective of gauge theory and T-du…
Differential Models for the Anderson Dual to Twisted -Bordism and a Twisted Anomaly Map
Fei Han, Yuanchu Li
We construct differential models for degree-3 twisted -bordism and for its Anderson dual. The model for the differential Anderson dual is based on the framework of…
Elliptic Chern Characters and Elliptic Atiyah--Witten Formula
Geyang Dai, Fei Han
Let be a compact, connected, and simply connected Lie group. A principal -bundle over a manifold , equipped with a connection, together with a positive-energy representat…
An Almost Flat Spin Manifold Bounds
Fei Han, Ruizhi Huang, Weiping Zhang
We prove that every almost flat spin^ manifold bounds a compact orientable manifold, thereby settling, in the spin^ case, a long-standing conjecture of Farrell--Zdravkovska a…
Loop Hori Formulae for T-duality and Twisted Bismut-Chern Character
Fei Han, Varghese Mathai
The main purpose of this paper is to establish the loop space formulation of T-duality in the presence of background flux. In particular, we construct a loop space analogue of the…
Iterated residue, toric forms and Witten genus
Fei Han, Hao Li, Zhi Lü
We introduce the notion of {\em iterated residue} to study generalized Bott manifolds. When applying the iterated residues to compute the Borisov-Gunnells toric form and the Witten…