16 citations · 77 across the 37 of their papers we have counts for
20 papers · 1 filter
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…
Almost Nonnegative Ricci curvature and new vanishing theorems for genera
Xiaoyang Chen, Jian Ge, Fei Han
We derive several vanishing theorems for genera under almost nonnegative Ricci curvature and infinite fundamental group, which includes Todd genus, -genus, elliptic ge…
T-duality, vertical holonomy line bundles and loop Hori formulae
Fei Han, Varghese Mathai
This paper is a step towards realizing T-duality and Hori formulae for loop spaces. Here we prove T-duality and Hori formulae for winding q-loop spaces, which are infinite dimensio…
Cubic forms, anomaly cancellation and modularity
Fei Han, Ruizhi Huang, Kefeng Liu +1
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin, spin and orientable 12-manifolds res…
T-Duality, Jacobi Forms and Witten Gerbe Modules
Fei Han, Varghese Mathai
In this paper, we extend the T-duality Hori maps in [arXiv:hep-th/0306062], inducing isomorphisms of twisted cohomologies on T-dual circle bundles, to graded Hori maps and show tha…
Projective elliptic genera and elliptic pseudodifferential genera
Fei Han, Varghese Mathai
In this paper, we construct for the first time the projective elliptic genera for a compact oriented manifold equipped with a projective complex vector bundle. Such projective elli…