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1-dimensional super symmetric quantum field theories and K-theory

Stephan Stolz

In this talk on joint work with Peter Teichner, I will outline the proof of our result that the space of 1-dimensional super symmetric quantum field theories of degree n is homotopy equivalent to the n-th space of the K-theory spectrum. We conjecture that an analogous statement holds with 1-QFT's replaced by 2-dimensional conformal field theories and the K-theory spectrum by the topological modular form spectrum.





Matthew 2003-04-22