Seminar series
Date
Tue, 09 Oct 2012
Time
14:00 -
15:00
Location
SR1
Speaker
Zheng Hua
Organisation
Kansas State
I will explain an approach to study DT theory of toric CY 3-folds using $L_\infty$ algebras. Based on the construction of strong exceptional collection of line bundles on Fano toric stack of dimension two, we realize any bounded families of sheaves on local surfaces support on zero section as critical sets of the Chern-Simons functions. As a consequence of this construction, several interesting properties of DT invariants on local surfaces can be checked.