Gauge theory and knot homologies

Fortschritte der Physik

Volumn 55, Issue 5-7, 2007, Pages 473-490

  Gukov, Sergei ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250302764     PISSN: 00158208     EISSN: 15213978     Source Type: Journal    
DOI: 10.1002/prop.200610385     Document Type: Conference Paper

References (44)

1. L. Crane and I. Frenkel, J. Math. Phys. 35, 5136 (1994).
2. R. Huerfano and M. Khovanov, math.QA/0002060.
3. M. Khovanov, math.QA/9908171.
4. P. Ozsvath and Z. Szabo, math.SG/0101206.
5. J. Rasmussen, math.GT/0306378.
6. M. Khovanov, math.QA/0304375.
7. M. Khovanov and L. Rozansky, math.QA/0401268.
8. S. Gukov, A. Schwarz, and C. Vafa, hep-th/0412243.
9. E. Witten, Prog. Math. 133, 637 (1995), hep-th/9207094.
10. R. Gopakumar and C. Vafa, hep-th/9809187; hep-th/9812127.
11. H. Ooguri and C. Vafa, Nucl. Phys. B 577, 419 (2000).
12. J. M. F. Labastida, M. Marino, and C. Vafa, J. High Energy Phys. 0011, 007 (2000), hep-th/0010102.
13. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998), hep-th/9711200.
14. N. Dunfield, S. Gukov, and J. Rasmussen, math.GT/0505662.
15. M. Khovanov and L. Rozansky, math.QA/0505056.
16. E. Witten, Commun. Math. Phys. 121, 351 (1989).
17. M. Khovanov, Algebr. Geom. Topol. 2, 665 (2002), math.QA/0103190.
18. M. Jacobsson, math.GT/0206303.
19. D. Bar-Natan, math.QA/0201043.
20. A. Kapustin and E. Witten, hep-th/0604151.
21. S. Gukov, and E. Witten hep-th/0612073.
22. Work in progress.
23. M. Kontsevich, alg-geom/9411018.
24. A.I. Bondal and M.M. Kapranov, Math. USSR-Sb. 70, 93 (1991).
25. E. Witten, Commun. Math. Phys. 117, 353 (1988).
26. K. Fukaya, Floer homology for 3-manifolds with boundary, in: Topology, Geometry, and Field Theory, edited by K. Fukaya, M. Furuta, T. Kohno, and D. Kotschirk (World Sci. Publishing, River Edge, NJ, 1994).
27. M. Bershadsky, A. Johansen, V. Sadov, and C. Vafa, Nucl. Phys. B 448, 166 (1995), hep-th/9501096.
28. M. F. Atiyah, Progr. Math. Birkhauser 133, 105 (1995).
29. P. Seidel, J. Diff. Geom. 52, 145 (1999).
30. P. Seidel and R. Thomas, Duke Math. J. 108, 37 (2001).
31. P. Seidel and I. Smith, math.SG/0405089.
32. C. Manolescu, math.SG/0411015.
33. C. Manolescu, math.SG/0601629.
34. N. Hitchin, Proc. Lond. Math. Soc. (3) 55, 59 (1987).
35. K. Iwasaki, Commun. Math. Phys. 242, 185 (2003).
36. M. Inaba, K. Iwasaki, and M.-H. Saito, Proceedings of Conference Internationale Theories Asymptotiques et Equations de Painleve, Seminaires et Congres, Soc. Math. France, math.AG/0501007.
37. K. Iwasaki and T. Uehara, math.AG/0512583.
38. H. Sakai, Commun. Math. Phys. 220, 165 (2001).
39. N. Hitchin, J. Geom. Phys. 23, 287 (1997).
40. K. Iwasaki Proc. Japan Acad. Ser. A Math. Sci. 78, 131 (2002).
41. W. Li, Commun. Contemp. Math. 3, 501 (2001).
42. D. Cooper, M. Culler, H. Gillet, D. D. Long, and P. B. Shalen, Invent. Math. 118, 47 (1994).
43. E. Klassen, Trans. Amer. Math. Soc. 326, 795 (1991).
44. H. Boden, C. Herald, P. Kirk, and E. Klassen, Geom. Topol. 5, 143 (2001), math.GT/9908020.