# Talbot 2010: Twisted K-Theory and Loop Groups

## Mentored by Constantin Teleman.

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May 23 to May 29, 2010.

Breckenridge, Colorado

## Some Links

The 2010 Talbot wiki.

Below are some very preliminary references for the 2010 Talbot workshop.

Basic:

- Hatcher, Vector bundles and K-theory. On his webpage.
- Atiyah, K-theory.
- Segal, Equivariant K-theory (IHES 69?)
- Atiyah-Segal, Completion theorem (J Diff Geom 84?)
- FHT (=Freed-Hopkins-Teleman) 1, Appendix for K-theory of stacks (arxiv)

Twistings and twisted K-theory:

- Donovan-Karoubi IHES (torsion twistings)
- Carey et al, CMP early 2000's
- Atiyah-Segal 1,2
- FHT -- Complex equivariant K-theory, J Topology
- FHT 1,2,3
- Freed's ICM lecture
- Ando, Blumberg, Hopkins et al: units in ring spectra

Loop groups, representations, CFT:

- Pressley-Segal;
- Kac, for lie algebras esp. twisted affine algebras if covered
- Segal's notes on CFT (Proceedings of 2002 conference)
- Segal's paper for loops in torus (?? refs)
- I. Frenkel: Orbital theory for affine Lie algebras. Invent. Math. 77 (1984)

Additional Topics:

- Grojnowski-Rosu-Ando et al for equivariant elliptic cohomology over C?
- Jacob if anything available? (But Jacob would cover that anyway)

Open-closed theory, Landau-Ginzburg potentials: To be added depending on how much we cover

Gauged string topology: If a paper available, perhaps me or one of my students

Relation to Chern-Simons:

- Freed-Hopkins-Lurie-Teleman for the torus (arxiv)
- Bartels-Douglas-Henriques conformal nets (arxiv)