Computing punctured log Gromov--Witten invariants via wall-crossing

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Comments: Computing punctured log Gromov--Witten invariants via wall-crossing Abstract: Punctured log Gromov—Witten invariants of Abramovich—Chen--Gross—Siebert are obtained by counting stable maps with prescribed tangency conditions (which are allowed to be negative) relative to a not necessarily smooth divisor. We provide a technique based on tropical geometry and wall-crossing algorithms 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. This is joint work with Mark Gross (arxiv:2007.08347).

Boston University Geometry/Physics Seminar

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