The symplectic Verlinde algebras and string K-theory

被引：3

作者：

Kriz, Igor ^{[1
]}

Levin, Joshua T. ^{[1
]}

Westerland, Craig ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia

来源：

JOURNAL OF TOPOLOGY | 2010年 / 3卷 / 04期

关键词：

TOPOLOGY; HOMOLOGY; SPHERES;

D O I：

10.1112/jtopol/jtq029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct string topology operations in twisted K-theory. We study the examples given by symplectic Grassmannians, computing K-*(tau)(LHPl) 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.

引用

页码：901 / 936

页数：36

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