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The HOMFLY Polynomial of a Forest Quiver

Geometry/Topology

Speaker: Amanda Schwartz, University of Michigan
Related Webpage: https://sites.google.com/umich.edu/amandaschwartz/
Location: 2112 MSB
Start time: Tue, Dec 2 2025, 2:10PM

Plabic (planar, bicolored) graphs were introduced by Postnikov in his work on the totally nonnegative Grassmannian. To each of these graphs, one can associate a link called a plabic link. Each plabic graph also has a quiver which is obtained by taking a dual graph with a certain orientation on the edges. I will present a closed formula for the HOMFLY polynomial of a plabic link in the case where the quiver of the plabic graph is an orientation of a forest.