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math.GT2022
The Gysin sequence and the sl(N) homology of T(2,m)
Joshua Wang
The sl(N) homology of the torus knot or link T(2,m) may be calculated explicitly. By direct comparison, the result is isomorphic to the cohomology of a naturally associated space o…
math.GT2022
Colored sl(N) homology and SU(N) representations
Joshua Wang
We provide the first complete computations of colored sl(N) homology for a nontrivial knot. In doing so, we show that the colored sl(N) homology of the trefoil labeled by an exteri…