Vanishing arcs for isolated plane curve singularities

event Wednesday, November 6, 2024
access_time 4:00pm (CST)
room PHSC 1105
free_breakfast Tea at 3:30pm (CST) in PHSC 424

Abstract: It is a classical theorem in singularity theory that the variation operator associated with an isolated hypersurface singularity is an isomorphism between the relative homology and the absolute homology of the Milnor fiber. In this talk we introduce a homotopy version of this variation operator. Using the theory of framed mapping class groups for plane curve singularities, we give a complete criterion to decide if a set of disjoint properly embedded arcs is sent to a geometric vanishing cycle by this operator.


For more information on this event, please contact Nicholas Miller.