1. Link homology
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Problem 1.2.
Does the superspace coinvariant ring defined as \mathbb{C}[x_1,\ldots,x_n,\theta_1,\ldots,\theta_n]\,\big/\,(\mathbb{C}[x_1,\ldots,x_n,\theta_1,\ldots,\theta_n]^{S_n}_+)relate to link homology? What object does \mathbb{C}[x_1,\ldots,x_n,\theta_1,\ldots,\theta_n]\,\big/\,(\mathbb{C}[x_1,\ldots,x_n,\theta_1,\ldots,\theta_n]^{S_n}_+)define in the trace of Hecke category? -
Problem 1.4.
Do Haiman’s polygraph rings relate to link homology? How do they relate to cables of Hopf link?
Cite this as: AimPL: Algebra, geometry, and combinatorics of link homology, available at http://aimpl.org/agclinkhom.