On wall-crossing in $\M_{g,n}$

03/31/2016 - 16:00
03/31/2016 - 17:30
Speaker: 
Marco Bertola
Location: 
Concordia University, Math Help Center, room 912.00 / Library Building, 1400 de Maisonneuve Blvd. West, Montréal
Abstract: 

 The term “wall-crossing” is referred to the analysis of the crossing between cells of maximal dimensions in the CW-complex structure provided to the moduli space of marked Riemann surfaces by the Strebel approach. Of particular interest is the homotopy around the co-dimension 2 locus. There is a natural $U(1)$ line bundle on this space and the analysis of its Chern class allows to prove relations between fundamental classes.

Based on a joint work (in progress) with Dmitry Korotkin.

Last edited by on Thu, 03/24/2016 - 15:07