3d A & B models, mirror symmetry, and HOMFLY homology

Tudor Dimofte (University of California, Davis/ University of Edingurgh)

21-Oct-2020, 20:00-21:00 (5 years ago)

Abstract: I will review some what's known about topological A and B twists of 3d N=4 supersymmetric gauge theories, in particular the algebraic/categorical structures that they contain. The physical duality known as 3d mirror symmetry exchanges 3d A and B twists, and should manifest mathematically as a higher analogue of homological mirror symmetry. I will then explain how these ideas may be concretely applied to reproduce and connect several different constructions of HOMFLY-PT homology (soon to appear in work with Garner, Hilburn, Oblomkov, and Rozansky).

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic


Boston University Geometry/Physics Seminar

Series comments: Please email Yu-Shen Lin (yslin0221@gmail.com) for password or adding to the email list.

Organizer: Yu-Shen Lin*
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