Enumerative geometry of curves: old and new
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Seminar
Aleksey Zinger (Stony Brook, zZt MPI) - Seminar Algebraic Geometry (SAG)
| What |
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| When |
Nov 26, 2015 from 10:30 am to 11:30 am |
| Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
| Contact Name | Sachinidis |
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I will present an overview of the (complex) Gromov-Witten invariants and their relation to curve counts provided by Pandharipande's version Gopakumar-Vafa formula for Fano classes. I will then present a similar formula that transforms the real positive-genus GW-invariants of many real-orientable threefolds into signed counts of curves. These integer invariants provide lower bounds for counts of real curves of a given genus that pass through conjugate pairs of constraints. This talk is based on recent joint works with P. Georgieva and J. Niu.
