References beginning with K
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Finite type invariants for knots in three manifolds,
Topology 37-3 (1998) 673-707.
- E. Kalfagianni,
Homology spheres with the same finite type invariants of bounded
orders,
Math. Res. Lett. 4 (1997) 341-347.
- E. Kalfagianni,
Vassiliev invariants and orientation of pretzel knots,
Jour. of Knot Theory and its Ramifications 7(2) (1998) 173-185.
- E. Kalfagianni,
Surgery -triviality and companion tori,
Jour. of Knot Theory and its Ramifications 13-4 (2004) 441-456.
- 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.
- 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.
- 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.
- 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.
- E. Kalfagianni and X-S. Lin,
Knot adjacency and satellites,
Topology and its Applications 138 (2004) 207-217,
arXiv:math.GT/0308168.
- 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.
- 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.
- E. Kalfagianni and X-S. Lin,
Seifert surfaces, Commutators and Vassiliev invariants,
To appear in the J. of Knot Theory and
its Ramifications (special volume in honor of L. Kauffman).
arXiv:0709.1689.
- T. Kanenobu,
Vassiliev-type invariants of a theta-curve,
Jour. of Knot Theory and its Ramifications 6(4) (1997) 455-477.
- T. Kanenobu,
Kauffman polynomials as Vassiliev link invariants,
in Proc. Knots 96 (S. Suzuki, ed.) (1997) 411-431, World Scientific.
- T. Kanenobu,
Vassiliev knot invariants of order 6,
Osaka City University preprint, June 1998.
- 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.
- 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.
- M. Kapranov,
Rozansky-Witten invariants via Atiyah classes,
Compositio Math. 115 (1999) 71-113, arXiv:alg-geom/9704009.
- C. Kassel,
Quantum groups,
Springer-Verlag GTM 155, Heidelberg 1994.
- C. Kassel, M. Rosso and V. Turaev,
Quantum groups and knot invariants,
Panoramas et synthèses 5, Société Mathématique de France,
1997.
- C. Kassel and V. Turaev,
Chord diagram invariants of tangles and graphs,
Duke Math. J. 92 (1998) 497-552.
- L. H. Kauffman,
Knots and physics (second edition),
World Scientific, Singapore 1993.
- 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.
- 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.
- L. H. Kauffman,
Functional integration and the Kontsevich integral,
University of Illinois at Chicago preprint, April 1998. See also
math.GT/9811137.
- L. H. Kauffman,
Virtual knot theory,
University of Illinois at Chicago preprint, November 1998. See also
math.GT/9811028.
- L. H. Kauffman,
Knot diagrammatics,
University of Illinois at Chicago preprint, October 2004,
arXiv:math.GT/0410329.
- 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.
- 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.
- 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.
- A. Kawauchi,
A survey of knot theory,
Birkhäuser, Basel 1996.
- M.Kazarian, First order invariants of the strangeness type for plane
curves,
Transact. (Trudy) Steklov Math. Inst. 221 (1998), 213-224.
- M. Khovanov,
Surfaces in three-space and braided algebras,
Yale University preprint, April 1995.
- T. Kimura, A. A. Voronov and
G. J. Zuckerman,
Homotopy Gerstenhaber algebras and topological field theory,
q-alg/9602009 preprint, February 1996.
- P. Kirk and C. Livingston,
Vassiliev invariants of two component links and the Casson-Walker
invariant,
Topology 36-6 (1997) 1333-1353.
- 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.
- P. Kirk, C. Livingston and Z. Wang,
The Gassner representation for string links,
Indiana University preprint, April 1998. See also
math.GT/9806035.
- J. A. Kneissler,
The number of primitive Vassiliev invariants up to degree twelve,
University of Bonn preprint, June 1997, arXiv:q-alg/9706022.
- J. A. Kneissler,
Relations in the algebra ,
University of Bonn preprint, October 1997.
- 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.
- J. A. Kneissler,
On spaces of connected graphs II: Relations in the algebra
,
Joura. of Knot Theory and its Ramifications 10-5 (2001) 667-674,
arXiv:math.QA/0301019.
- 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.
- J. A. Kneissler,
Die kombinatorik der diagrammalgebren von invarianten endlichen
typs,
Ph.D. thesis, Rheinische Friedrich-Wilhelms-Universität Bonn.
- I. Kofman and X-S. Lin,
Vassiliev invariants and the cubical knot complex,
Topology 42 (2003) 83-101, arXiv:math.GT/0010009.
- 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.
- T. Kohno,
Vassiliev invariants and de-Rham complex on the space of
knots,
Contemp. Math. 179 (1994) 123-138.
- T. Kohno,
Elliptic KZ system, braid group of the torus and Vassiliev
invariants,
University of Tokyo preprint, January 1996.
- 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.
- T. Kohno,
Conformal field theory and topology,
Iwanami Series in Modern Mathematics, Translations of Mathematical
Monographs 210, Amer. Math. Soc., Providence 2002.
- M. Kontsevich,
Vassiliev's knot invariants,
Adv. in Sov. Math., 16(2) (1993) 137-150.
- M. Kontsevich,
Feynman diagrams and low-dimensional topology,
First European Congress of Mathematics II 97-121, Birkhäuser
Basel 1994.
- M. Kontsevich,
Rozansky-Witten invariants via formal geometry,
Compositio Math. 115 (1999) 115-127, arXiv:dg-ga/9704009.
- M.Kontsevich, Formal (non-)commutative symplectic
geometry. In:
L. Corvin, I. Gel'fand, J. Lepovsky (eds.),
The I. M. Gel'fand's mathematical seminars 1990-1992,
Birkhäuser, Basel, 173-187 (1993).
- D. Kreimer,
Weight systems from Feynman diagrams,
Jour. of Knot Theory and its Ramifications 7(1) (1998) 61-85.
See also
hep-th/9612010.
- D. Kreimer,
Knots and Feynman diagrams,
Cambridge Lecture Notes in Physics 13, Cambridge University Press,
Cambridge 2001.
- 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.
- A. Kricker,
Covering spaces over claspered knots,
Tokyo Institute of Technology preprint, December 1998. See also
math.GT/9901029.
- A. Kricker,
Branched cyclic covers and finite type invariants,
Tokyo Institute of Technology preprint, January 2000. See also
math.GT/0003035.
- A. Kricker,
The lines of the Kontsevich integral and Rozansky's rationality
conjecture,
Tokyo Institute of Technology preprint, May 2000,
arXiv:math.GT/0005284.
- 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.
- 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.
- 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.
- G. Kuperberg,
Detecting knot invertibility,
Jour. of Knot Theory and its Ramifications 5 (1996) 173-181.
See also
q-alg/9712048.
- 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.
- V. Kurlin,
Compressed Drinfeld associators,
University of Burgundy preprint, August 2004, arXiv:math.GT/0408398,
Journal of Algebra 292 (2005), no. 1, 184-242.
Sergei DUZHIN
2013-07-04