The Verlinde algebra is twisted equivariant K-theory

Abstract

In joint work with M. Hopkins and C. Teleman we find a new description of the Verlinde algebra associated to a compact Lie group. In this expository account we describe twisted K-theory, prove the theorem for the group SU(2), and motivate the general theorem using ideas in topological field theory. The full proof will appear elsewhere.

11 pages

References in corpus (3)

• Higher Algebraic Structures and Quantization
• Quadratic functions in geometry, topology,and M-theory
• K-Theory Past and Present

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