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  Exponential growth of colored HOMFLY-PT homology

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-9D24-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-9D25-2
Genre: Journal Article

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arXiv:1602.02769.pdf (Preprint), 604KB
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 Creators:
Wedrich, Paul1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology, High Energy Physics - Theory, Quantum Algebra
 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 55
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1602.02769
URI: http://arxiv.org/abs/1602.02769
DOI: 10.1016/j.aim.2019.06.023
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Title: Advances in Mathematics
  Abbreviation : Adv. Math.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 353 Sequence Number: - Start / End Page: 471 - 525 Identifier: -