Exponential growth of colored HOMFLY-PT homology

@article{Wedrich2016ExponentialGO,
  title={Exponential growth of colored HOMFLY-PT homology},
  author={Paul Wedrich},
  journal={arXiv: Geometric Topology},
  year={2016}
}
  • Paul Wedrich
  • Published 2016
  • Mathematics, Physics
  • arXiv: Geometric Topology
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… Expand
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