Enumerating punctured log Gromov-Witten invariants from wall-crossing

Hulya Arguz (Versailles Saint-Quentin-en-Yvelines University)

03-Dec-2020, 13:00-14:00 (3 years ago)

Abstract: Punctured log Gromov—Witten invariants of Abramovich—Chen--Gross—Siebert are obtained by counting of stable maps with prescribed tangency conditions (which are allowed to be negative) relative to a not necessarily smooth divisor. In this talk we describe an algorithmic method to compute punctured log Gromov-Witten invariants of log Calabi-Yau varieties, which are obtained by blowing-up of toric varieties along hypersurfaces on the toric boundary. For this we use tropical geometry and wall-crossing computations. This is joint work with Mark Gross (arxiv:2007.08347).

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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