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

The Verlinde algebra is twisted equivariant K-theory

Daniel S. FREED
Pages
159–167
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Here we explain in heuristic terms how this fits naturally into ideas about the Chern-Simons topological field theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:This is a joint discovery with M.
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Conclusion & Impact:Here we explain in heuristic terms how this fits naturally into ideas about the Chern-Simons topological field theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2001) · 159-168. Full text: pdf Other articles published in the same issue: Turk. J. Math.

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.

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.

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Cite This Article

FREED, D. S. (2022). The Verlinde algebra is twisted equivariant K-theory. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 1, 159–167. https://ajindex.com/articles/608906

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