MAT 540      Fall 2007

Intermediate Algebraic Topology I

Dennis Sullivan

This two-semester course will discuss homology linking and homology intersection in a manifold. We will show how homology is needed to get well-defined operations in the space of closed curves or strings in the manifold. These operations will be labeled by the cells of a cell decomposion of a space of all combinatorial riemann surfaces.

Course level is intermediate to advanced.