Proves Khovanov homology functoriality and positivity for gl2 webs.
arXiv research
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We formulate a stability conjecture for the coefficients of the colored Jones polynomial of a knot, colored by irreducible representations in a fixed ray of a simple Lie algebra, and verify it for all torus knots and all simple Lie algebras of rank . Our conjecture is motivated by a structure theorem for the degree …
The paper studies rigidity of sphere packings on 3D manifolds with boundary.
Extends rigidity and existence results for discrete conformal structures on surfaces with boundary.
This paper completes the classification of discrete conformal structures on surfaces.
The paper finds hyperbolic metrics on surfaces with boundary using combinatorial curvature flows.
The paper studies rigid sphere packings on 3D manifolds with boundary.
Method produces faithful representations of Garside groups and torus knot groups.
This paper classifies discrete conformal structures on surfaces with boundary.
The paper studies curvature flows in Euclidean and hyperbolic spaces, proving smooth convergence to spheres.