Rational Links and DT Invariants of Quivers

Marko Stošić; Paul Wedrich

doi:10.1093/imrn/rny289

Rational Links and DT Invariants of Quivers

Marko Stošić, Paul Wedrich^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We prove that the generating functions for the colored HOMFLY-PT polynomials of rational links are specializations of the generating functions of the motivic Donaldson-Thomas invariants of appropriate quivers that we naturally associate with these links. This shows that the conjectural links-quivers correspondence of Kucharski-Reineke-Stošić-Sułkowski as well as the LMOV conjecture holds for all rational links. Along the way, we extend the links-quivers correspondence to tangles and, thus, explore elements of a skein theory for motivic Donaldson-Thomas invariants.

Original language	English
Pages (from-to)	4169-4210
Number of pages	42
Journal	International Mathematics Research Notices
Volume	2021
Issue number	6
DOIs	https://doi.org/10.1093/imrn/rny289
Publication status	Published - 1 Mar 2021

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AB - We prove that the generating functions for the colored HOMFLY-PT polynomials of rational links are specializations of the generating functions of the motivic Donaldson-Thomas invariants of appropriate quivers that we naturally associate with these links. This shows that the conjectural links-quivers correspondence of Kucharski-Reineke-Stošić-Sułkowski as well as the LMOV conjecture holds for all rational links. Along the way, we extend the links-quivers correspondence to tangles and, thus, explore elements of a skein theory for motivic Donaldson-Thomas invariants.

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VL - 2021

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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Rational Links and DT Invariants of Quivers

Abstract

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