On Stable Khovanov Homology of Torus Knots

References

• E , [Andrews 76] G. and Andrews , . 1976 . The Theory of Partitions. , Addison-Wesley .
   Google Scholar
• Asaeda , [Asaeda and Przytycki 04] M. , J , , , Przytycki , . , “Khovanov , . , Torsion , Homology: , Thickness , , and In , .” . 2004 . Advances in Topological Quantum Field Theory , pp. 135–166. Dordrecht: Kluwer Acad. Publ. .
   Google Scholar
• Bar-Natan , [Bar-Natan 02] D. 2002 . On Khovanov's Categorification of the Jones Polynomial . Algebraic and Geometric Topology , 2 : 337 – 370 .
   Google Scholar
• Bar-Natan , [Bar-Natan 05] D. 2005 . Khovanov's Homology for Tangles and Cobordisms . Geom. Topol. , 9 : 1443 – 1499 .
   Web of Science ®Google Scholar
• Bar-Natan , [Bar-Natan 07] D. 2007 . Fast Khovanov Homology Computations . J. Knot Theory Ramifications , 16 ( 3 ) : 243 – 255 .
   Web of Science ®Google Scholar
• Bar-Natan , [Bar-Natan and Morrison 12] D. , S , , and Morrison , . 2012 . The Knot Atlas . Available online http://katlas.org ,
   Google Scholar
• Bruschek , [Bruschek et al. 11] C. , H , , , Mourtada , . , J , , , Schepers , . , “Arc , . , Rogers–Ramanujan , Spaces, and In , Identities.” . 2011 . 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) , pp. 211–220, Discrete Math. Theor. Comput. Sci. Proc., AO, Assoc. Discrete Math. Theor. Comput. Sci., Nancy .
   Google Scholar
• Dunfield , [Dunfield et al. 06] N. , S , , , Gukov , . , J , , and Rasmussen , . 2006 . The Superpolynomial for Knot Homologies . Experimental Math. , 15 : 129 – 159 .
   Web of Science ®Google Scholar
• Dyckerhoff , [Dyckerhoff 11] T. 2011 . Compact Generators in Categories of Matrix Factorizations . Duke Math. J. , 159 ( 2 ) : 223 – 274 .
   Web of Science ®Google Scholar
• Eisenbud , [Eisenbud 80] D. 1980 . Homological Algebra on a Complete Intersection, with an Application to Group Representations . Trans. Amer. Math. Soc. , 260 : 35 – 64 .
   Web of Science ®Google Scholar
• Feigin , [Feigin 11] B. 2011 . Abelianization of the BGG Resolution of Representations of the Virasoro Algebra . Funct. Anal. Appl. , 45 ( 4 ) : 297 – 304 .
   Web of Science ®Google Scholar
• Feigin , [Feigin and Loktev 01] B. , S , , and Loktev , . 2001 . On the Finitization of Gordon Identities . Funct. Anal. Appl. , 35 ( 1 ) : 44 – 51 .
   Web of Science ®Google Scholar
• Feigin , [Feigin and Stoyanovsky 94] B. , A , , and Stoyanovsky , . 1994 . Functional Models for Representations of Current Algebras and Semi-infinite Schubert Cells . Funct. Anal. Appl. , 28 ( 1 ) : 55 – 72 .
   Web of Science ®Google Scholar
• Frenkel , [Frenkel et al. 12] I. , C , , , Stroppel , . , J , , and Sussan , . 2012 . Categorifying Fractional Euler Characteristics, Jones–Wenzl Projector and 3j-Symbols . Quantum Topol. , 3 ( 2 ) : 181 – 253 .
   Google Scholar
• Gorsky , [Gorsky 12] E. , “ , . , Numbers , q, t-Catalan , Knot , , and In , Homology.” . 2012 . Zeta Functions in Algebra and Geometry , Contemp. Math. 566, pp. 213–232. Amer. Math. Soc. .
   Google Scholar
• Gorsky , [Gorsky et al. 12] E. , A , , , Oblomkov , . , J , , , Rasmussen , . , V , , and Shende , . 2012 . Torus Knots and the Rational DAHA . Preprint, arXiv:1207.4523 ,
   Google Scholar
• Gukov , [Gukov and Stošić 12] S. , M , , , Stošić , . , “Homological , . , of , Algebra , BPS , Knots, and In , States.” . 2012 . String-Math 2011 (Proc. Sympos. Pure Math.) , vol. 85, pp. 125–171. Providence, RI: American Mathematical Society .
   Google Scholar
• Gukov , [Gukov and Walcher 05] S. , J , , and Walcher , . 2005 . Matrix Factorizations and Kauffman Homology . Preprint, arXiv: 0512298 ,
   Google Scholar
• Hochschild , [Hochschild et al. 62] G. , B , , , Kostant , . , A , , and Rosenberg , . 1962 . Differential Forms on Regular Affine Algebras . Transactions AMS , 102 ( 3 ) : 383 – 408 .
   Google Scholar
• Kac , [Kac 90] V. 1990 . Infinite-Dimensional Lie Algebras, third edition. , Cambridge University Press .
   Google Scholar
• Khovanov , [Khovanov 00] M. 2000 . A Categorification of the Jones Polynomial . Duke Math. J. , 101 ( 3 ) : 359 – 426 .
   Web of Science ®Google Scholar
• Khovanov , [Khovanov and Rozansky 08a] M. , L , , and Rozansky , . 2008 . Matrix Factorizations and Link Homology I . Fund. Math. , 199 ( 1 ) : 1 – 91 .
   Web of Science ®Google Scholar
• Khovanov , [Khovanov and Rozansky 08b] M. , L , , and Rozansky , . 2008 . Matrix Factorizations and Link Homology II . Geom. Topol. , 12 ( 3 ) : 1387 – 1425 .
   Web of Science ®Google Scholar
• S , [Lee 05] E. and Lee , . 2005 . An Endomorphism of the Khovanov Invariant . Adv. Math. , 197 ( 2 ) : 554 – 586 .
   Web of Science ®Google Scholar
• Lepowsky , [Lepowsky and Primc 85] J. , M , , and Primc , . 1985 . Structure of the Standard Modules for the Affine Lie Algebra A ^[1] ₁ , Contemporary Mathematics 46. American Mathematical Society .
   Google Scholar
• Loktev , [Loktev 01] S. 2001 . Fermionic Formulas for the Characters of the Representations of . Russian Math. Surveys , 56 ( 1 ) : 164 – 165 .
   Web of Science ®Google Scholar
• Przytycki , [Przytycki and Sazdanovic 12] J. , R , , and Sazdanovic , . 2012 . Torsion in Khovanov Homology of Semi-adequate Links . Preprint, arXiv:1210.5254 ,
   Google Scholar
• Rasmussen , [Rasmussen 06] J. 2006 . Some Differentials on Khovanov–Rozansky Homology . Preprint, arXiv:math.GT/0607544 ,
   Google Scholar
• Rasmussen , [Rasmussen 10] J. 2010 . Khovanov Homology and the Slice Genus . Invent. Math. , 182 ( 2 ) : 419 – 447 .
   Web of Science ®Google Scholar
• Rozansky , [Rozansky 10] L. 2010 . An Infinite Torus Braid Yields a Categorified Jones–Wenzl Projector . Preprint, arXiv:1005.3266 ,
   Google Scholar
• Shumakovitch , [Shumakovitch 04a] A. 2004 . KhoHo: A Program for Computing Khovanov Homology . Formerly available online at www.geometrie.ch/KhoHo ,
   Google Scholar
• Shumakovitch , [Shumakovitch 04b] A. 2004 . Torsion of the Khovanov homology . arXiv:math/0405474 ,
   Google Scholar
• Shumakovitch , [Shumakovitch 11] A. 2011 . Private communication .
   Google Scholar
• Stošić , [Stošić 07] M. 2007 . Homological Thickness and Stability of Torus Knots . Algebr. Geom. Topol. , 7 : 261 – 284 .
   Web of Science ®Google Scholar
• Stošić , [Stošić 09] M. 2009 . Khovanov Homology of Torus Links . Topology Appl. , 156 ( 3 ) : 533 – 541 .
   Web of Science ®Google Scholar
• Turner , [Turner 08] P. 2008 . A Spectral Sequence for Khovanov Homology with an Application to (3, q)-Torus Links . Algebr. Geom. Topol. , 8 ( 2 ) : 869 – 884 .
   Web of Science ®Google Scholar
• Webster , [Webster 10] B. 2010 . Knot Invariants and Higher Representation Theory II: The Categorification of Quantum Knot Invariants . Preprint, arXiv:1005.4559 ,
   Google Scholar