TL;DR
This paper introduces quasi-elliptic cohomology, a variant of elliptic cohomology related to orbifold K-theory and the Tate curve, providing a systematic construction and definition.
Contribution
It offers a systematic introduction and construction of quasi-elliptic cohomology, connecting it to orbifold K-theory and the geometry of the Tate curve.
Findings
Quasi-elliptic cohomology relates to orbifold K-theory of constant loops.
It can be expressed via equivariant K-theories for global quotient orbifolds.
The theory reflects the geometric nature of the Tate curve.
Abstract
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 in terms of equivariant K-theories. Thus, the constructions on it can be made in a neat way. This theory reflects the geometric nature of the Tate curve. In this paper we provide a systematic introduction of its construction and definition.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology