Math 82600: Intermediate Algebraic Topology

Spring 2008: Wed., 10:45AM -12:45PM; 3 cr.; Rm. 6417

Course description: This continuation of the fall 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 decomposition of a space of all combinatorial Riemann surfaces. The level is intermediate to advanced.