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We introduce and explore the relation between knot invariants and quiver representation theory, which follows from the identification of quiver quantum mechanics in D-brane systems representing knots.
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2011
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M. Reineke, Cohomology of quiver moduli, functional equations, and integrality of donaldson–thomas type invariants , Compositio Mathematica 147
2011
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2012
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A. I. Efimov, Cohomological hall algebra of a symmetric quiver , Compositio Mathematica 148
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S. Gukov and M. Stosic, Homological Algebra of Knots and BPS States , Proc. Symp. Pure Math. 85
2012
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2012
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2012
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2015
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2015
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M. Aganagic and S. Shakirov, Knot Homology and Refined Chern-Simons Index , Commun. Math. Phys. 333
2015
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2016
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P. Kucharski and P. Sulkowski, BPS counting for knots and combinatorics on words , JHEP 11
2016
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2016
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S. Gukov, S. Nawata, I. Saberi, M. Stosic and P. Sulkowski, Sequencing BPS Spectra , JHEP 03
2016
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S. Nawata and A. Oblomkov, Lectures on knot homology , Contemp. Math. 680
2016
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