MS Seminar (Mathematics - String Theory)

Speaker: Dmitrii M Galakhov (UC Berkeley)
Title: On ADE link homology
Date: Tue, Dec 12, 2017, 13:15 - 14:30
Place: Seminar Room A
Abstract: I will describe rules for computing a homology theory of knots and links colored by minuscule representations of simply laced Lie algebras and embedded in 3d Euclidean space. It is derived from the theory of framed BPS states bound to domain walls separating two-dimensional Landau-Ginzburg models with (2,2) supersymmetry. I will illustrate the rules with some sample computations and argue that the results are compatible with purely geometrical constructions of such homology theories due to Khovanov and Rozansky.