Fetching the paper…
Reading the bibliography…
In this paper we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths.
E. Witten, Quantum field theory and the Jones polynomial , Comm. Math. Phys. 121
1989
Earlier work this paper cites.
M. Sato, Generating functions for the number of lattice paths between two parallel lines with a rational incline , Mathematica Japonica 34
1989
Earlier work this paper cites.
E. Witten, Chern-Simons gauge theory as a string theory , Prog. Math. 133
1995
Earlier work this paper cites.
H. Ooguri and C. Vafa, Knot invariants and topological strings , Nucl.Phys. B577
2000
Earlier work this paper cites.
J. M. F. Labastida, M. Marino and C. Vafa, Knots, links and branes at large N , JHEP 11
2000
Earlier work this paper cites.
M. Khovanov, A categorification of the Jones polynomial , Duke Math. J. 101
2000
Earlier work this paper cites.
P. Duchon, On the enumaration and generation of generalized Dyck words , Discrete Math. 225
2000
Earlier work this paper cites.
J. M. F. Labastida and M. Marino, Polynomial invariants for torus knots and topological strings , Commun. Math. Phys. 217
2001
Earlier work this paper cites.
P. Ramadevi and T. Sarkar, On link invariants and topological string amplitudes , Nucl. Phys. B600
2001
Earlier work this paper cites.
J. M. F. Labastida and M. Marino, A new point of view in the theory of knot and link invariants , J. Knot Theory Ramifications 11
2002
Earlier work this paper cites.
C. Banderier and P. Flajolet, Basic analytic combinatorics of directed lattice paths , Theoretical Computer Science 281
2002
Cited alongside, same era.
N. Halmagyi, A. Sinkovics and P. Sulkowski, Knot invariants and Calabi-Yau crystals , JHEP 01
2006
Cited alongside, same era.
M. Khovanov and L. Rozansky, Matrix factorizations and link homology , Fund. Math. 199
2008
Cited alongside, same era.
M. Khovanov and L. Rozansky, Matrix factorizations and link homology II , Geom. & Topol. 12
2008
Cited alongside, same era.
K. Liu and P. Peng, Proof of the Labastida-Mariño-Ooguri-Vafa conjecture , J. Diff. Geom. 85
2010
Cited alongside, same era.
2012
Later among the works it cites.
E. Gorsky, q , t q,t -Catalan numbers and knot homology , Contemp. Math 566
2012
Later among the works it cites.
2012
Later among the works it cites.
2013
Later among the works it cites.
K. Bulycheva, A. Gorsky and S. Nechaev, Critical behavior in topological ensembles , Phys. Rev. D92
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
M. Reineke, Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants , Compositio Mathematica 147
2011
Cited alongside, same era.
2012
Cited alongside, same era.
A. I. Efimov, Cohomological Hall algebra of a symmetric quiver , Compositio Mathematica 148
2012
Cited alongside, same era.
P. Kucharski, M. Reineke, M. Stosic and P. Sulkowski, Knots-quivers correspondence , 1707.04017
Cited in the paper.
W. Luo and S. Zhu, Integrality structures in topological strings I: framed unknot , 1611.06506
Cited in the paper.
S. Zhu, Topological strings, quiver varieties and Rogers-Ramanujan identities , 1707.00831
Cited in the paper.
2015
Later among the works it cites.
P. Kucharski and P. Sulkowski, BPS counting for knots and combinatorics on words , JHEP 11
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Later among the works it cites.