Topology Seminar: Søren Galatius
- Date: 02/13/2013
- Time: 15:00
University of British Columbia
Homological stability for moduli spaces of high dimensional manifolds
The moduli space of Riemann surfaces $M_g$ parametrizes bundles of genus $g$ surfaces. A classical theorem of J. Harer implies that the homology $H_k(M_g)$ is independent of $g$, as long as $g$ is large compared to $k$. In joint work with Oscar Randal-Williams, we establish an analogue of this result for manifolds of higher dimension: The role of the genus $g$ surface is played by the connected sum of $g$ copies of $S^n \times S^n$.
Location: ESB 4127