nLab Zhen Huan

• webpage

• Mathematics Genealogy page

Selected writings

On equivariant elliptic cohomology in the form of orbifold K-theory on Huan's inertia orbifolds (a form of twisted ad-equivariant Tate K-theory):

• Zhen Huan, Quasi-elliptic cohomology, 2017 (hdl)

• Zhen Huan, Quasi-Elliptic Cohomology and its Power Operations, J. Homotopy and Related Structures 13 (2018) 715–767 [arXiv:1612.00930, doi:10.1007/s40062-018-0201-y]

• Zhen Huan, Quasi-elliptic cohomology and its Spectrum (arXiv:1703.06562)

• Zhen Huan, Quasi-Elliptic Cohomology I, Advances in Mathematics, Volume 337, 15 October 2018, Pages 107-138 (arXiv:1805.06305, doi:10.1016/j.aim.2018.08.007)

• Zhen Huan, Quasi-theories [arXiv:1809.06651]

• Zhen Huan, Quasi-theories and their equivariant orthogonal spectra [arXiv:1809.07622]

  (via orthogonal spectra)

• Zhen Huan, Matthew Spong, Twisted Quasi-elliptic cohomology and twisted equivariant elliptic cohomology (arXiv:2006.00554)

• Zhen Huan, Nathaniel Stapleton, Level structures on p-divisible groups from the Morava E-theory of abelian groups (arXiv:2001.10075)

Review:

• Zhen Huan, Quasi-elliptic cohomology theory and the twisted, twisted Real theories, talk at Perimeter Institute (2020) [video: doi:10.48660/20050059]

Generalization to twisted equivariant KR-theory:

• Zhen Huan, Matthew B. Young, Twisted Real quasi-elliptic cohomology [arXiv:2210.07511]

On 2-representations:

• Zhen Huan, 2-Representations of Lie 2-groups and 2-Vector Bundles (arXiv:2208.10042)

On quasi-elliptic cohomology of representation spheres as an approximation to equivariant Cohomotopy:

• Zhen Huan: Twisted Quasi-elliptic cohomology and twisted equivariant elliptic cohomology [arXiv:2006.00554]

• Zhen Huan: Quasi-elliptic cohomology of 4-spheres [arXiv:2408.02278]

Related entries

• Tate K-theory

• orbifold K-theory

• equivariant elliptic cohomology

• Huan's inertia orbifold, cyclic loop space

category: people