Intersection formula and independence for spherical twists from decorated marked surfaces

Title: Intersection formula and independence for spherical twists from decorated marked surfaces

 

SpeakerDr. Yu ZhouUniversity of Bielefeld)

 

Date:  15:00-16:00 pm, September 11, 2014

 

Place: Conference Room A304, Department of Mathematical Sciences

 

Abstract: For each triangulation of a decorated marked surface S, there is an associated differential graded algebra whose finite dimensional derived category D is a triangulated 3-Calabi-Yau category. In this talk, we give a bijection between spherical objects in D up to shift and closed curves in S and show that this bijection is independent of the choice of a triangulation of S. Using the compatibility between spherical twists on D and braid twists on S, we prove that the intersection number of two closed curves is equal to the dimension of the graded space of morphisms between the corresponding objects. This is a joint work in progress with Yu Qiu.

 

ContactBin Zhu