5 papers
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…
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…