## 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.