Project Euclid

References

• [1] H. Awata and H. Kanno, Changing the preferred direction of the refined topological vertex, preprint, arXiv:0903.5383 [hep.th]
• [2] S. Cautis and J. Kamnitzer, Knot homology via derived categories of coherent sheaves, II, sl_m case, Invent. Math. 174 (2008), 165–232.
  Mathematical Reviews (MathSciNet): MR2430980
  Digital Object Identifier: doi:10.1007/s00222-008-0138-6
  
• [3] P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millett, and A. Ocneanu, A new polynomial invariant of knots and links, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 239–246.
  Mathematical Reviews (MathSciNet): MR776477
  Digital Object Identifier: doi:10.1090/S0273-0979-1985-15361-3
  Project Euclid: euclid.bams/1183552531
  
• [4] D. Gepner, Fusion rings and geometry, Comm. Math. Phys. 141 (1991), 381–411.
  Mathematical Reviews (MathSciNet): MR1133272
  Zentralblatt MATH: 0752.17033
  Digital Object Identifier: doi:10.1007/BF02101511
  Project Euclid: euclid.cmp/1104248305
  
• [5] M. Khovanov and L. Rozansky, Virtual crossing, convolutions and a categorification of the SO(2N) Kauffman polynomial, J. Gökova Geom. Topol. GGT 1 (2007), 116–214.
  Mathematical Reviews (MathSciNet): MR2386537
  
• [6] M. Khovanov and L. Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008), 1–91.
  Mathematical Reviews (MathSciNet): MR2391017
  Zentralblatt MATH: 1145.57009
  Digital Object Identifier: doi:10.4064/fm199-1-1
  
• [7] M. Mackaay, M. Stosic, and P. Vaz, The 1,2-coloured HOMFLY-PT link homology, Trans. Amer. Math. Soc. 363 (2011), 2091–2124.
  Mathematical Reviews (MathSciNet): MR2746676
  Zentralblatt MATH: 05885462
  Digital Object Identifier: doi:10.1090/S0002-9947-2010-05155-4
  
• [8] V. Mazorchuk and C. Stroppel, A combinatorial approach to functorial quantum $\mathfrak{sl}_{k}$ knot invariants, Amer. J. Math. 131 (2009), 1679–1713.
  Mathematical Reviews (MathSciNet): MR2567504
  Zentralblatt MATH: 05656519
  Digital Object Identifier: doi:10.1353/ajm.0.0082
  
• [9] H. Murakami, T. Ohtsuki, and S. Yamada, Homfly polynomial via an invariant of colored plane graphs, Enseign. Math. (2) 44 (1998), 325–360.
  Mathematical Reviews (MathSciNet): MR1659228
  
• [10] J. H. Przytycki and P. Traczyk, Invariants of links of Conway type, Kobe J. Math. 4 (1988), 115–139.
  Mathematical Reviews (MathSciNet): MR945888
  Zentralblatt MATH: 0655.57002
  
• [11] L. Rozansky, personal communication, May 2007.
• [12] J. Sussan, Category $\mathcal{O}$ and $\mathfrak{sl}_{k}$ link invariants, Ph.D. dissertation, Yale University, Princeton, 2007.
  Mathematical Reviews (MathSciNet): MR2710319
  
• [13] B. Webster and G. Williamson, A geometric construction of colored HOMFLYPT homology, preprint, arXiv:0905.0486 [math.GT]
• [14] H. Wu, Matrix factorizations and colored MOY graphs, preprint, arXiv:0803.2071 [math.GT]
• [15] H. Wu, A colored sl(N)-homology for links in S³, preprint, arXiv:0907.0695 [math.GT]
• [16] Y. Yonezawa, Matrix factorizations and double line in $\mathfrak{sl}_{n}$ quantum link invariant, preprint, arXiv:math/0703779 [math.GT]
• [17] Y. Yonezawa, Matrix factorizations and intertwiners of the fundamental representations of quantum group $U_{q}(\mathfrak{sl}_{n})$, preprint, arXiv:0806.4939 [math.QA]
• [18] Y. Yonezawa, Quantum $(\mathfrak{sl}_{n},\wedge V_{n})$ link invariant and matrix factorizations, Ph.D. dissertation, Nagoya University, Nagoya, Japan, arXiv:0906.0220 [math.GT]
• [19] Y. Yoshino, Cohen-Macaulay Modules over Cohen-Macaulay Rings, Lond. Math. Soc. Lect. Note Ser. 146, Cambridge University Press, Cambridge, 1990.
  Mathematical Reviews (MathSciNet): MR1079937
  Zentralblatt MATH: 0745.13003
  
• [20] Y. Yoshino, Tensor products of matrix factorizations, Nagoya Math. J. 152 (1998), 39–56.
  Mathematical Reviews (MathSciNet): MR1659389
  Zentralblatt MATH: 0930.13017
  Project Euclid: euclid.nmj/1118766411