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Open Gromov-Witten Invariants for Even-Dimensional Lagrangians

Institute for Advanced Study via YouTube

Overview

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Explore the genus zero open Gromov-Witten invariants for even-dimensional Lagrangians in this 33-minute conference talk from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar. Learn about the definition of these invariants through a canonical family of bounding cochains that satisfy the point-like condition of Solomon-Tukachinsky, featuring non-commutative coefficients. Discover how these invariants recover Welschinger's invariants in dimension two and examine computational examples for even-dimensional quadric hypersurfaces that demonstrate the non-trivial nature of these mathematical objects. Gain insights into advanced symplectic geometry concepts presented by Elad Kosloff from Hebrew University of Jerusalem, focusing on the intersection of algebraic topology, differential geometry, and mathematical physics in the study of Lagrangian submanifolds.

Syllabus

Open Gromov-Witten Invariants for Even-Dimensional Lagrangians - Elad Kosloff

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Institute for Advanced Study

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