Indecomposable Surface Bundles over Surfaces

Geometry Topology Seminar
Monday, August 20, 2012 - 2:05pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Institute of Technology
There are two simple ways to construct new surface bundles over surfaces from old ones, namely, we can connect sum along the base or the fiber.  In joint work with Inanc Baykur, we construct explicit surface bundles over surfaces that are indecomposable in both senses.  This is achieved by first translating the problem into one about embeddings of surface groups into mapping class groups.