- This event has passed.
Geometric Topology Seminar
February 28, 2014 @ 1:15 pm - 2:30 pm
Speaker: Adam Levine
Title: Non-orientable surfaces in homology cobordisms
Abstract: We study the minimal genus problem for embeddings of closed, non-orientable surfaces in a homology cobordism between rational homology spheres, using obstructions derived from Heegaard Floer homology and from the Atiyah-Singer index theorem. For instance, we show that if a non-orientable surface embeds essentially in the product of a lens space with an interval, its genus and normal Euler number are the same as those of a stabilization of a non-orientable surface embedded in the lens space itself. This is joint work with Danny Ruberman and Saso Strle.