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References beginning with K

This bibliography is frozen (see Section 5).
An active version is maintained by Sergei Duzhin at http://www.pdmi.ras.ru/~duzhin/VasBib.

  1. $ \star$ E. Kalfagianni, Finite type invariants for knots in three manifolds, Topology 37-3 (1998) 673-707.

  2. $ \star$ E. Kalfagianni, Homology spheres with the same finite type invariants of bounded orders, Math. Res. Lett. 4 (1997) 341-347.

  3. $ \star$ E. Kalfagianni, Vassiliev invariants and orientation of pretzel knots, Jour. of Knot Theory and its Ramifications 7(2) (1998) 173-185.

  4. $ \star$ E. Kalfagianni, Surgery $ n$-triviality and companion tori, Jour. of Knot Theory and its Ramifications 13-4 (2004) 441-456.

  5. $ \star$ E. Kalfagianni, Alexander polynomial, finite type invariants and volume of hyperbolic knots, Algebraic and Geometric Topology 4-48 (2004) 1111-1123, arXiv:math.GT/0411384.

  6. $ \star$ E. Kalfagianni and X-S. Lin, The HOMFLY polynomial for links in rational homology 3-spheres, Topology 38-1 (1999) 95-115, arXiv:q-alg/9509010.

  7. $ \star$ E. Kalfagianni and X-S. Lin, Regular Seifert surfaces and Vassiliev knot invariants, Rutgers University and University of California at Riverside preprint, June 1997, arXiv:math.GT/9804032.

  8. $ \star$ E. Kalfagianni and X-S. Lin, Milnor and finite type invariants of plat-closures, Math. Res. Lett. 5 (1998) 293-304, arXiv:math.GT/9804030.

  9. $ \star$ E. Kalfagianni and X-S. Lin, Knot adjacency and satellites, Topology and its Applications 138 (2004) 207-217, arXiv:math.GT/0308168.

  10. $ \star$ E. Kalfagianni and X-S. Lin (with an appendix by D. McCullough), Knot adjacency, genus and essential tori, Michigan State University and University of California at Riverside preprint, March 2004, arXiv:math.GT/0403024.

  11. $ \star$ E. Kalfagianni and X-S. Lin, Higher degree knot adjacency as obstruction to fibering, Michigan State University and University of California at Riverside preprint, March 2004, arXiv:math.GT/0403026.

  12. $ \star$ T. Kanenobu, Vassiliev-type invariants of a theta-curve, Jour. of Knot Theory and its Ramifications 6(4) (1997) 455-477.

  13. $ \star$ T. Kanenobu, Kauffman polynomials as Vassiliev link invariants, in Proc. Knots 96 (S. Suzuki, ed.) (1997) 411-431, World Scientific.

  14. $ \star$ T. Kanenobu, Vassiliev knot invariants of order 6, Osaka City University preprint, June 1998.

  15. $ \star$ T. Kanenobu and Y. Miyazawa, HOMFLY polynomials as Vassiliev link invariants, in Knot theory (V. F. R. Jones, J. Kania-Bartoszynska, J. H. Przytycki, P. Traczyk, and V. G. Turaev, eds.), Banach Center Publications 42 165-185, Warsaw 1998.

  16. $ \star$ T. Kanenobu and Y. Miyazawa and A. Tani, Vassiliev link invariants of order three, Jour. of Knot Theory and its Ramifications 7(4) (1998) 433-462.

  17. $ \star$ M. Kapranov, Rozansky-Witten invariants via Atiyah classes, Compositio Math. 115 (1999) 71-113, arXiv:alg-geom/9704009.

  18. $ \star$ C. Kassel, Quantum groups, Springer-Verlag GTM 155, Heidelberg 1994.

  19. $ \star$ C. Kassel, M. Rosso and V. Turaev, Quantum groups and knot invariants, Panoramas et synthèses 5, Société Mathématique de France, 1997.

  20. $ \star$ C. Kassel and V. Turaev, Chord diagram invariants of tangles and graphs, Duke Math. J. 92 (1998) 497-552.

  21. $ \star$ L. H. Kauffman, Knots and physics (second edition), World Scientific, Singapore 1993.

  22. $ \star$ L. H. Kauffman, Vassiliev invariants and the Jones polynomial, Quantum groups, integrable statistical models and knot theory (Nankai) (M. L. Ge and H. J. de Vega, eds.), World Scientific, Singapore 1993.

  23. $ \star$ L. H. Kauffman, Vassiliev invariants and the loop states in quantum gravity, Proceedings of conference on quantum gravity (Riverside) (J. Baez, ed.), Oxford University press, Oxford 1994.

  24. $ \star$ L. H. Kauffman, Functional integration and the Kontsevich integral, University of Illinois at Chicago preprint, April 1998. See also math.GT/9811137.

  25. $ \star$ L. H. Kauffman, Virtual knot theory, University of Illinois at Chicago preprint, November 1998. See also math.GT/9811028.

  26. $ \star$ L. H. Kauffman, Knot diagrammatics, University of Illinois at Chicago preprint, October 2004, arXiv:math.GT/0410329.

  27. $ \star$ L. H. Kauffman and Y. B. Magarshak, Vassiliev knot invariants and the structure of RNA folding, Knots and applications (L. H. Kauffman, ed.), World Scientific, Singapore 1994.

  28. $ \star$ L. H. Kauffman and Y. B. Magarshak, Graph invariants and the topology of RNA folding, Jour. of Knot Theory and its Ramifications 3(3) (1994) 233-245.

  29. $ \star$ L. H. Kauffman, M. Saito and S. F. Sawin, On finiteness of certain Vassiliev invariants, Jour. of Knot Theory and its Ramifications 6(2) (1997) 291-297. See also q-alg/9507035.

  30. $ \star$ A. Kawauchi, A survey of knot theory, Birkhäuser, Basel 1996.

  31. $ \star$ M. Khovanov, Surfaces in three-space and braided algebras, Yale University preprint, April 1995.

  32. $ \star$ T. Kimura, A. A. Voronov and G. J. Zuckerman, Homotopy Gerstenhaber algebras and topological field theory, q-alg/9602009 preprint, February 1996.

  33. $ \star$ P. Kirk and C. Livingston, Vassiliev invariants of two component links and the Casson-Walker invariant, Topology 36-6 (1997) 1333-1353.

  34. $ \star$ P. Kirk and C. Livingston, Type 1 invariants in irreducible 3-manifolds, Indiana University preprint, August 1996. Pac. Jour. of Math. 183-2 (1998) 305-331.

  35. $ \star$ P. Kirk, C. Livingston and Z. Wang, The Gassner representation for string links, Indiana University preprint, April 1998. See also math.GT/9806035.

  36. $ \star$ J. A. Kneissler, The number of primitive Vassiliev invariants up to degree twelve, University of Bonn preprint, June 1997, arXiv:q-alg/9706022.

  37. $ \star$ J. A. Kneissler, Relations in the algebra $ \Lambda$, University of Bonn preprint, October 1997.

  38. $ \star$ J. A. Kneissler, On spaces of connected graphs I: Properties of ladders, Proc. Inter. Conf. Knots in Hellas '98, Series on Knots and Everything 24 (2000) 252-273, arXiv:math.QA/0301018.

  39. $ \star$ J. A. Kneissler, On spaces of connected graphs II: Relations in the algebra $ \Lambda$, Joura. of Knot Theory and its Ramifications 10-5 (2001) 667-674, arXiv:math.QA/0301019.

  40. $ \star$ J. A. Kneissler, On spaces of connected graphs III: The ladder filtration, Joura. of Knot Theory and its Ramifications 10-5 (2001) 675-686, arXiv:math.QA/0301020.

  41. $ \star$ J. A. Kneissler, Die kombinatorik der diagrammalgebren von invarianten endlichen typs, Ph.D. thesis, Rheinische Friedrich-Wilhelms-Universität Bonn.

  42. $ \star$ I. Kofman and X-S. Lin, Vassiliev invariants and the cubical knot complex, Topology 42 (2003) 83-101, arXiv:math.GT/0010009.

  43. $ \star$ I. Kofman and Y. Rong, Approximating Jones coefficients and other link invariants by Vassiliev invariants, University of Maryland and George Washington University preprint, June 1999, arXiv:math.GT/0007093.

  44. $ \star$ T. Kohno, Vassiliev invariants and de-Rham complex on the space of knots, Contemp. Math. 179 (1994) 123-138.

  45. $ \star$ T. Kohno, Elliptic KZ system, braid group of the torus and Vassiliev invariants, University of Tokyo preprint, January 1996.

  46. $ \star$ T. Kohno, Loop spaces of configuration spaces and finite type invariants, Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs 4 143-160, arXiv:math.AT/0211056.

  47. $ \star$ T. Kohno, Conformal field theory and topology, Iwanami Series in Modern Mathematics, Translations of Mathematical Monographs 210, Amer. Math. Soc., Providence 2002.

  48. $ \star$ M. Kontsevich, Vassiliev's knot invariants, Adv. in Sov. Math., 16(2) (1993) 137-150.

  49. $ \star$ M. Kontsevich, Feynman diagrams and low-dimensional topology, First European Congress of Mathematics II 97-121, Birkhäuser Basel 1994.

  50. $ \star$ M. Kontsevich, Rozansky-Witten invariants via formal geometry, Compositio Math. 115 (1999) 115-127, arXiv:dg-ga/9704009.

  51. $ \star$ D. Kreimer, Weight systems from Feynman diagrams, Jour. of Knot Theory and its Ramifications 7(1) (1998) 61-85. See also hep-th/9612010.

  52. $ \star$ D. Kreimer, Knots and Feynman diagrams, Cambridge Lecture Notes in Physics 13, Cambridge University Press, Cambridge 2001.

  53. $ \star$ A. Kricker, Alexander-Conway limits of many Vassiliev weight systems, Jour. of Knot Theory and its Ramifications 6(5) (1997) 687-714. See also q-alg/9603011.

  54. $ \star$ A. Kricker, Covering spaces over claspered knots, Tokyo Institute of Technology preprint, December 1998. See also math.GT/9901029.

  55. $ \star$ A. Kricker, Branched cyclic covers and finite type invariants, Tokyo Institute of Technology preprint, January 2000. See also math.GT/0003035.

  56. $ \star$ A. Kricker, The lines of the Kontsevich integral and Rozansky's rationality conjecture, Tokyo Institute of Technology preprint, May 2000, arXiv:math.GT/0005284.

  57. $ \star$ A. Kricker, A surgery formula for the 2-loop piece of the LMO invariant of a pair, Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs 4 161-181, arXiv:math.GT/0211057.

  58. $ \star$ A. Kricker and B. Spence, Ohtsuki's invariants are of finite type, Jour. of Knot Theory and its Ramifications 6(4) (1997) 583-597. See also q-alg/9608007.

  59. $ \star$ A. Kricker, B. Spence and I. Aitchison, Cabling the Vassiliev invariants, Jour. of Knot Theory and its Ramifications 6(3) (1997) 327-358. See also q-alg/9511024.

  60. $ \star$ G. Kuperberg, Detecting knot invertibility, Jour. of Knot Theory and its Ramifications 5 (1996) 173-181. See also q-alg/9712048.

  61. $ \star$ G. Kuperberg and D. P. Thurston, Perturbative 3-manifold invariants by cut-and-paste topology, University of California at Davis and University of California at Berkeley preprint, December 1999, arXiv:math.GT/9912167.

  62. $ \star$ V. Kurlin, Explicit description of compressed logarithms of all Drinfeld associators, University of Burgundy preprint, August 2004, arXiv:math.GT/0408398.


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Dror Bar-Natan 2005-06-30