Exponential growth of colored HOMFLY-PT homology

Wedrich, Paul

doi:10.1016/j.aim.2019.06.023

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Exponential growth of colored HOMFLY-PT homology

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Wedrich, Paul
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.aim.2019.06.023
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arXiv:1602.02769.pdf
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Wedrich, P. (2019). Exponential growth of colored HOMFLY-PT homology. Advances in Mathematics, 353, 471-525. doi:10.1016/j.aim.2019.06.023.

Cite as: https://hdl.handle.net/21.11116/0000-0004-9D24-3

Abstract

We define reduced colored sl(N) link homologies and use deformation spectral
sequences to characterize their dependence on color and rank. We then define reduced colored HOMFLY-PT homologies and prove that they arise as large N limits of sl(N) homologies. Together, these results allow proofs of many
aspects of the physically conjectured structure of the family of type A link homologies. In particular, we verify a conjecture of Gorsky, Gukov and Sto\v{s}i\'c about the growth of colored HOMFLY-PT homologies.