Stringy power operations in Tate K-theory

Details Stringy power operations in Tate K-theory Stringy power operations in Tate K-theory

2007-01-20

arxiv.org/abs/math/0701565v3

Mathematics

Algebraic Topology

41 pages, 5 figures, improved exposition

Scientific paper

We study the loop spaces of the symmetric powers of an orbifold and use our results to define equivariant power operations in Tate K-theory. We prove that these power operations are elliptic and that the Witten genus is an H_oo map. As a corollary, we recover a formula by Dijkgraaf, Moore, Verlinde and Verlinde for the orbifold Witten genus of these symmetric powers. We outline some of the relationship between our power operations and notions from (generalized) Moonshine.

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