Dergiler / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 1

The Verlinde algebra is twisted equivariant K-theory

Sayfa
159–167
DOI
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Özet

The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be describable in terms of K-theory. This is a joint discovery with M. Hopkins and C. Teleman. Here we explain in heuristic terms how this fits naturally into ideas about the Chern-Simons topological field theory.

Abstract

The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be describable in terms of K-theory. This is a joint discovery with M. Hopkins and C. Teleman. Here we explain in heuristic terms how this fits naturally into ideas about the Chern-Simons topological field theory.

Anahtar kelimeler: Turk. J. Math., 25, (2001), 159-168. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.