Twist Knot Invariants and Volume Conjecture
285
3. M. Khovanov, L. Rozansky, Matrix factorizations and link homology II. Geomet. Topol.
12(06), 1387–1425 (2005). https://doi.org/10.2140/gt.2008.12.1387
4. N.M. Dunfield, S. Gukov, J. Rasmussen, The superpolynomial for knot homologies. Exp. Math.
15(2), 129–159 (2006). https://doi.org/10.1080/10586458.2006.10128956
5. M. Khovanov, Triply-graded link homology and Hochschild homology of Soergel bimodules.
Int. J. Math. 18(08), 869–885 (2007). https://doi.org/10.1142/S0129167X07004400
6. M. Mackaay, M. Stoši´ c, P. Vaz, The 1,2-coloured HOMFLY-PT link homology. Trans. Amer.
Math. Soc. 363(4), 2091–2124 (2011). https://doi.org/10.1090/S0002-9947-2010-05155-4
7. B. Webster, G. Williamson, A geometric construction of colored HOMFLY-PT homology.
Geom. Topol. 21(05), 2557–2600 (2009). https://doi.org/10.2140/gt.2017.21.2557
8. S. Gukov, A.S. Schwarz, C. Vafa, Khovanov-Rozansky homology and topological strings. Lett.
Math. Phys. 74, 53–74 (2005). https://doi.org/10.1007/s11005-005-0008-8
9. R. Kashaev, The hyperbolic volume of knots from quantum dilogarithm. Lett. Math. Phys. 39,
269–275 (1997). https://doi.org/10.1023/A:1007364912784
10. H. Murakami, J. Murakami, The colored Jones polynomials and the simplicial volume of a
knot. Acta Math. 186(1), 85–104 (2001). https://doi.org/10.1007/BF02392716
11. S. Gukov, Three-dimensional quantum gravity, Chern-Simons theory, and the A polynomial.
Commun. Math. Phys. 255, 577–627 (2005). https://doi.org/10.1007/s00220-005-1312-y
12. S. Garoufalidis, T. Le, The colored Jones function is q-holonomic. Geom. Topol. 9, 1253–1293
(2004). https://doi.org/10.2140/gt.2005.9.1253
13. S. Garoufalidis, On the characteristic and deformation varieties of a knot. Geom. Topol.
Monogr. 7, 291–309 (2004). https://doi.org/10.2140/gtm.2004.7.291
14. H. Fuji, S. Gukov, P. Sułkowski, H. Awata, et. al., Volume conjecture: refined and categorified.
Adv. Theoret. Math. Phys. 16(6) 1669–1777 (2012). https://doi.org/10.4310/ATMP.2012.v16.
n6.a3
15. H. Fuji, S. Gukov, P. Sulkowski, Super-A-polynomial for knots and BPS states. Nucl. Phys.
B867, 506–546 (2013). https://doi.org/10.1016/j.nuclphysb.2012.10.005
16. Zodinmawia and P. Ramadevi, SU(N) quantum Racah coefficients & non-torus links. Nucl.
Phys. B870, 205–242 (2013). https://doi.org/10.1016/j.nuclphysb.2012.12.020
17. G. Masbaum, Skein-theoretical derivation of some formulas of Habiro. Algebr. Geom. Topol.
3(17), 537–556 (2003). https://doi.org/10.2140/agt.2003.3.537
18. S. Gukov, M. Stosic, Homological algebra of Knots and BPS states. Proc. Symp. Pure Math. 85,
125–172 (2012); Geom. Topol. Monographs 18, 309 (2012). https://doi.org/10.1090/pspum/
085/1377
19. S. Nawata, P. Ramadevi, Zodinmawia, X. Sun, Super-A-polynomials for Twist Knots. J. High
Energy Phys. 1211, 157 (2012). https://doi.org/10.1007/JHEP11(2012)157
20. A.N. Kirillov, N.Y. Reshetikhin, Representation algebra U q (sl 2 ), q-orthogonal polynomials
and invariants of links, in New Developments in the Theory of Knots, ed. by T. Kohno (World
Scientific, Singapore, 1989). https://doi.org/10.1142/1056
21. S. Nawata, P. Ramadevi, Zodinmawia, Multiplicity-free quantum 6j -symbols for U q (sl N ).
Lett. Math. Phys. 103, 1389–1398 (2013). https://doi.org/10.1007/s11005-013-0651-4
22. S. Garoufalidis, X. Sun, A new algorithm for the recursion of hypergeometric multisums with
improved universal denominator. Gems Exp. Math. Contemp. Math. 517, 143–156 (2009).
https://doi.org/10.1090/conm/517/10138
285
3. M. Khovanov, L. Rozansky, Matrix factorizations and link homology II. Geomet. Topol.
12(06), 1387–1425 (2005). https://doi.org/10.2140/gt.2008.12.1387
4. N.M. Dunfield, S. Gukov, J. Rasmussen, The superpolynomial for knot homologies. Exp. Math.
15(2), 129–159 (2006). https://doi.org/10.1080/10586458.2006.10128956
5. M. Khovanov, Triply-graded link homology and Hochschild homology of Soergel bimodules.
Int. J. Math. 18(08), 869–885 (2007). https://doi.org/10.1142/S0129167X07004400
6. M. Mackaay, M. Stoši´ c, P. Vaz, The 1,2-coloured HOMFLY-PT link homology. Trans. Amer.
Math. Soc. 363(4), 2091–2124 (2011). https://doi.org/10.1090/S0002-9947-2010-05155-4
7. B. Webster, G. Williamson, A geometric construction of colored HOMFLY-PT homology.
Geom. Topol. 21(05), 2557–2600 (2009). https://doi.org/10.2140/gt.2017.21.2557
8. S. Gukov, A.S. Schwarz, C. Vafa, Khovanov-Rozansky homology and topological strings. Lett.
Math. Phys. 74, 53–74 (2005). https://doi.org/10.1007/s11005-005-0008-8
9. R. Kashaev, The hyperbolic volume of knots from quantum dilogarithm. Lett. Math. Phys. 39,
269–275 (1997). https://doi.org/10.1023/A:1007364912784
10. H. Murakami, J. Murakami, The colored Jones polynomials and the simplicial volume of a
knot. Acta Math. 186(1), 85–104 (2001). https://doi.org/10.1007/BF02392716
11. S. Gukov, Three-dimensional quantum gravity, Chern-Simons theory, and the A polynomial.
Commun. Math. Phys. 255, 577–627 (2005). https://doi.org/10.1007/s00220-005-1312-y
12. S. Garoufalidis, T. Le, The colored Jones function is q-holonomic. Geom. Topol. 9, 1253–1293
(2004). https://doi.org/10.2140/gt.2005.9.1253
13. S. Garoufalidis, On the characteristic and deformation varieties of a knot. Geom. Topol.
Monogr. 7, 291–309 (2004). https://doi.org/10.2140/gtm.2004.7.291
14. H. Fuji, S. Gukov, P. Sułkowski, H. Awata, et. al., Volume conjecture: refined and categorified.
Adv. Theoret. Math. Phys. 16(6) 1669–1777 (2012). https://doi.org/10.4310/ATMP.2012.v16.
n6.a3
15. H. Fuji, S. Gukov, P. Sulkowski, Super-A-polynomial for knots and BPS states. Nucl. Phys.
B867, 506–546 (2013). https://doi.org/10.1016/j.nuclphysb.2012.10.005
16. Zodinmawia and P. Ramadevi, SU(N) quantum Racah coefficients & non-torus links. Nucl.
Phys. B870, 205–242 (2013). https://doi.org/10.1016/j.nuclphysb.2012.12.020
17. G. Masbaum, Skein-theoretical derivation of some formulas of Habiro. Algebr. Geom. Topol.
3(17), 537–556 (2003). https://doi.org/10.2140/agt.2003.3.537
18. S. Gukov, M. Stosic, Homological algebra of Knots and BPS states. Proc. Symp. Pure Math. 85,
125–172 (2012); Geom. Topol. Monographs 18, 309 (2012). https://doi.org/10.1090/pspum/
085/1377
19. S. Nawata, P. Ramadevi, Zodinmawia, X. Sun, Super-A-polynomials for Twist Knots. J. High
Energy Phys. 1211, 157 (2012). https://doi.org/10.1007/JHEP11(2012)157
20. A.N. Kirillov, N.Y. Reshetikhin, Representation algebra U q (sl 2 ), q-orthogonal polynomials
and invariants of links, in New Developments in the Theory of Knots, ed. by T. Kohno (World
Scientific, Singapore, 1989). https://doi.org/10.1142/1056
21. S. Nawata, P. Ramadevi, Zodinmawia, Multiplicity-free quantum 6j -symbols for U q (sl N ).
Lett. Math. Phys. 103, 1389–1398 (2013). https://doi.org/10.1007/s11005-013-0651-4
22. S. Garoufalidis, X. Sun, A new algorithm for the recursion of hypergeometric multisums with
improved universal denominator. Gems Exp. Math. Contemp. Math. 517, 143–156 (2009).
https://doi.org/10.1090/conm/517/10138
