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Geometry/Physics Seminar | Mingyuan Hu (Northwestern University)

Thursday, September 26, 2024 | 4:00 PM - 5:00 PM CT
Lunt Hall, 107, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Skein valued open Gromov-Witten invariants and cluster mutations

Abstract:  We consider a class of Lagrangians living in \mathbb{C}^3 . Their Ekholm-Shende wavefunctions, living in the HOMFLY-PT skein module, will encode open Gromov-Witten invariants in all genus and arbitrarily many boundary components. We develop a skein valued cluster theory to compute these wavefunctions. In some simple cases, our computation matches up with the topological vertex. Along the way we define a skein dilogarithm and prove a pentagon relation, which will imply the 5-term relation of Garsia and Mellit, originally formulated in terms of Macdonald polynomials.

Audience

  • Faculty/Staff
  • Student
  • Public
  • Post Docs/Docs
  • Graduate Students

Contact

Eric Zaslow   (847) 467-6447

e-zaslow@northwestern.edu

Interest

  • Academic (general)

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