3 citations · 7 across the 11 of their papers we have counts for
11 papers
2-Equivariant 2-Vector bundles and 2K-theories
Zhen Huan
We define 2-vector bundles over a Lie groupoid as pseudofunctors into the bicategory of finite-dimensional super algebras, bimodules, and intertwiners. The resulting 2K-theory, obt…
Quasi-elliptic cohomology of 4-spheres
Zhen Huan
Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a particularly suitable approximation to equivariant 4-th Cohomotopy, which classifies the charges carried by M-br…
Twisted Real quasi-elliptic cohomology
Zhen Huan, Matthew B. Young
In this paper we construct twisted Real quasi-elliptic cohomology as the twisted KR-theory of loop groupoids. The theory systematically incorporates loop rotation and reflection. A…
2-Representations of Lie 2-groups and 2-Vector Bundles
Zhen Huan
We develop a systematic 2-representation theory for coherent Lie 2-groups and its geometric incarnation via 2-vector bundles. For any coherent Lie 2-group ,…
Twisted equivariant quasi-elliptic cohomology and M-brane charge
Zhen Huan
In this paper we construct a twisted version of quasi-elliptic cohomology. This theory can be constructed as a K-theory of a loop space. After establishing basic properties of the…
Quasi-theories and their equivariant orthogonal spectra
Zhen Huan
In this paper we construct orthogonal spectra up to a weak equivalence for the quasi-theory corresponding to certain cohomology theories . The construction…
Quasi-theories
Zhen Huan
In this paper we define a family of theories, quasi-theories, motivated by quasi-elliptic cohomology. They can be defined from constant loop spaces. With them, the constructions on…
Almost Global Homotopy Theory
Zhen Huan
In this paper we develop the definition of a global orthogonal spectrum and its unitary version. It relates equivariant spectra by equivariant weak equivalence in a coherent wa…
Quasi-Elliptic Cohomology I
Zhen Huan
Quasi-elliptic cohomology is a variant of elliptic cohomology theories. It is the orbifold K-theory of a space of constant loops. For global quotient orbifolds, it can be expressed…
Universal Finite Subgroup of the Tate Curve
Zhen Huan
In their book Katz and Mazur discuss the moduli problem of the subgroup-schemes of elliptic curves. We give the classification of the finite subgroups of the Tate curve before. Mor…
Quasi-elliptic cohomology and its Spectrum
Zhen Huan
Ginzburg, Kapranov and Vasserot conjectured the existence of equivariant elliptic cohomology theories. In this paper, to give a description of equivariant spectra of the theories,…