Wednesday, October 27th, 2010
3:00pm - 4:00pm, in Science 2-074

Eduardo González

UMass Boston

Gauged Gromov-Witten Potential under toric Calabi-Yau wall crossing

Abstract: I will define invariants associated to representations of a torus into complex affine spaces. These invariants are a gauged version of the (linear) sigma models of Witten, called gauged Gromov-Witten invariants. Then I will study the generating function of these invariants (potential) and investigate its behaviour under wall crossing, using established formulae by Cieliebak-Salamon. We will show that under Calabi-Yau wall crossing (flop) these potential do not change . If time permits I will relate these result to work of Woodward-Ziltener.