Seminar in Real and Complex Geometry

Monday, 20.03.2017, 17:00-18:00, Ornstein building, room 102

Lev Blechman, Tel Aviv University

Refined descendant Gromov-Witten Invariants


In this talk we will first define refined tropical invariants (Following Block-Goettsche and Goettsche-Schroeter) which are Laurent polynomials in one variable y, that under some some appropriate conditions, for y=1 yield Gromov Witten invariants, and for y=-1 yield Welschinger invariants of toric del Pezzo surfaces, that count complex, resp. real plane tropical curves passing through a generic configuration of points. Then we will define a refinement of arbitrary rational tropical descendant invariants, that count plane tropical curves that pass through a more generic configuration of points. Joint work with E. Shustin.