The symplectic Verlinde algebras and string K-theory

Igor Kriz, Joshua T. Levin, Craig Westerland

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We construct string topology operations in twisted K-theory. We study the examples given by symplectic Grassmannians, computing Kz.ast;τ(LHP) CMMI6.-1.lscript) in detail. Via the work of Freed-Hopkins- Teleman, these computations are related to completions of the Verlinde algebras of Sp(n). We compute these completions, and other relevant information about the Verlinde algebras. We also identify the completions with the twisted K-theory of the Gruher-Salvatore pro-spectra. Further comments on the field-theoretic nature of these constructions are made.

Original languageEnglish (US)
Article numberjtq029
Pages (from-to)901-936
Number of pages36
JournalJournal of Topology
Volume3
Issue number4
DOIs
StatePublished - 2010

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