Some Links

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)