16 citations · 77 across the 37 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Fractional structures on bundle gerbe modules and fractional classifying spaces
Fei Han, Ruizhi Huang, Varghese Mathai
We study the homotopy aspects of the twisted Chern classes of torsion bundle gerbe modules. Using Sullivan's rational homotopy theory, we realize the twisted Chern classes at the l…
Elliptic genus and string cobordism at dimension
Fei Han, Ruizhi Huang
It is known that spin cobordism can be determined by Stiefel-Whitney numbers and index theory invariants, namely -theoretic Pontryagin numbers. In this paper, we show that stri…
Twisted Milnor Hypersurface I
Jingfang Lian, Fei Han, Hao Li +1
In this paper, we study {\bf twisted Milnor hypersurfaces} and compute their -genus and Atiyah-Singer-Milnor -invariant. Our tool to compute the -invariant is Zhang's…