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Skeins, Clusters and Wavefunctions in Open Gromov-Witten Theory

M-Seminar, Kansas State University via YouTube

Overview

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Explore a cutting-edge lecture on open Gromov-Witten theory and its applications in algebraic topology. Delve into Ekholm and Shende's proposed version, which counts holomorphic maps from Riemann surfaces with boundary landing on a Lagrangian 3-manifold L using the HOMFLYPT skein module. Discover joint research by Gus Schrader, Mingyuan Hu, and Eric Zaslow, presenting a novel method for computing the Ekholm-Shende generating function ('wavefunction') for a specific class of Lagrangian branes in C^3. Examine the innovative use of a skein-theoretic analog of cluster theory, where skein-valued wavefunctions for different Lagrangians are connected through skein mutation operators. Gain insights into this advanced mathematical topic, bridging concepts from algebraic topology, geometry, and quantum field theory.

Syllabus

Gus Schrader - Skeins, clusters and wavefunctions

Taught by

M-Seminar, Kansas State University

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