nLab Fei Han

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Selected writings

On a twisted equivariant version of the Bismut-Chern character:

• Fei Han, Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character [arXiv:0711.3862

• Fei Han, Varghese Mathai, Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality, Commun. Math. Phys. 337 (2015) 127-150 [arXiv:1405.1320, doi:10.1007/s00220-014-2270-z]

On the Green-Schwarz mechanism in heterotic string theory and Hořava-Witten theory:

• Fei Han, Kefeng Liu, Weiping Zhang, Anomaly Cancellation and Modularity. II: $E_8 \times E_8$ case, Sci. China Math. 60, 985–994 (2017) (arXiv:1209.4540, doi:10.1007/s11425-016-9034-1)

On the Witten genus in the case of string^c structure:

• Qingtao Chen, Fei Han, Weiping Zhang, Generalized Witten Genus and Vanishing Theorems, Journal of Differential Geometry 88.1 (2011): 1-39. (arXiv:1003.2325)

• Qingtao Chen, Fei Han, Elliptic Genera, Transgression and Loop Space Chern-Simons Forms, Communications in Analysis and Geometry Volume 17 (2009) Number 1 (arXiv:math/0611104, doi:10.4310/CAG.2009.v17.n1.a4)

• Fei Han, Varghese Mathai, Projective elliptic genera and elliptic pseudodifferential genera, Adv. Math. 358 (2019) 106860 (arXiv:1903.07035)

• Haibao Duan, Fei Han, Ruizhi Huang, $String^c$ Structures and Modular Invariants, Trans. AMS 2020 (arXiv:1905.02093)

On gravitino anomaly cancellation in D=11 N=1 supergravity:

• Fei Han, Ruizhi Huang, Kefeng Liu, Weiping Zhang, Cubic forms, anomaly cancellation and modularity, Advances in Mathematics 394 (2022) 108023 [arXiv:2005.02344, doi:10.1016/j.aim.2021.108023]

On bundle gerbe modules with higher G-structures (including String structure, etc.) and the corresponding twisted Chern character:

• Fei Han, Ruizhi Huang, Varghese Mathai, Fractional structures on bundle gerbe modules and fractional classifying spaces [arXiv:2203.14439]

On the Anderson dual of Spin^c-cobordism cohomology in relation to topological K-theory:

• Fei Han, Yuanchu Li: Differential Models for Anderson Dual to Twisted -Bordism and Twisted Anomaly Map [arXiv:2510.27286]

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