Homology, Homotopy and Applications

Power operations in orbifold Tate $K$-theory

Nora Ganter

Full-text: Open access

Abstract

We formulate the axioms of an orbifold theory with power operations. We define orbifold Tate $K$-theory, by adjusting Devoto’s definition of the equivariant theory, and proceed to construct its power operations. We calculate the resulting sym- metric powers, exterior powers and Hecke operators and put our work into context with orbifold loop spaces, level structures on the Tate curve and generalized Moonshine.

Article information

Source
Homology Homotopy Appl., Volume 15, Number 1 (2013), 313-342.

Dates
First available in Project Euclid: 8 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.hha/1383943680

Mathematical Reviews number (MathSciNet)
MR3079210

Zentralblatt MATH identifier
1277.19003

Subjects
Primary: 19L99: None of the above, but in this section

Keywords
Elliptic cohomology Tate curve cohomology operation level structure generalized moonshine

Citation

Ganter, Nora. Power operations in orbifold Tate $K$-theory. Homology Homotopy Appl. 15 (2013), no. 1, 313--342. https://projecteuclid.org/euclid.hha/1383943680


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