THOM PROSPECTRA FOR LOOPGROUP REPRESENTATIONS

@inproceedings{Kitchloo2004THOMPF,
  title={THOM PROSPECTRA FOR LOOPGROUP REPRESENTATIONS},
  author={Nitya R. Kitchloo},
  year={2004}
}
This is very much an account of work in progress. We sketch the construction of an Atiyah dual (in the category of T-spaces) for the free loopspace of a manifold; the main technical tool is a kind of Tits building for loop groups, discussed in detail in an appendix. Together with a new localization theorem for T-equivariant K-theory, this yields a construction of the elliptic genus in the string topology framework of Chas-Sullivan, Cohen-Jones, Dwyer, Klein, and others. We also show how the… CONTINUE READING

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