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: alexsuciu@neu.edu | |
Posted: March 22, 2006 | URL: http://www.math.neu.edu/bhmn/teichner06.html |