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Reduced Gromov--Witten invariants from cuspidal curves

Connections for Women: Enumerative Geometry Beyond Numbers January 18, 2018 - January 19, 2018

January 18, 2018 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Cristina Manolache (Imperial College, London)
Location: SLMath: Eisenbud Auditorium
  • Gromov--Witten invariants

  • moduli spaces

  • virtual classes

  • birational geometry

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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.

30489?type=thumb Manolache Notes 182 KB application/pdf Download
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