Reduced Gromov--Witten invariants from cuspidal curves
Connections for Women: Enumerative Geometry Beyond Numbers January 18, 2018 - January 19, 2018
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
Gromov--Witten invariants
moduli spaces
virtual classes
birational geometry
2-Manolache
In a series of papers Zinger and his collaborators introduced reduced Gromov--Witten invariants. These are numbers which contain fewer degenerate contributions than Gromov--Witten invariants. Together with Luca Battistella and Francesca Carocci we use moduli spaces of stable maps from curves with cusps to define new invariants. We show that for the quintic three-fold these invariants are equal to Zinger's reduced Gromov--Witten invariants.
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