|Generalized cohomology via super symmetric Euclidean field theories|
Abstract: We will survey some joint work in progress with Stephan Stolz. For a smooth manifold M, we define the space of all super symmetric d-dimensional Euclidean field theories over M. We show that after dividing out a concordance relation, the case d=0 gives de Rham cohomology and d=1 gives K-theory of M. Finally, we explain why the case d=2 might be related to the Hopkins-Miller-Lurie theory of topological modular forms.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: March 22, 2006||URL: http://www.math.neu.edu/bhmn/teichner06.html|