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math.AT2026
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…
math.AT2025
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…
math.AT2025
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…