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References beginning with B

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$ S. Baader, A note on Vassiliev invariants of quasipositive knots, University of Basel preprint, December 2004, arXiv:math.GT/0412453.

  2. $ \star$ E. Babson, A. Björner, S. Linusson, J. Shareshian and V. Welker, Complexes of not $ i$-connected graphs, Topology 38-2 (1999) 271-299, arXiv:math.CO/9705219.

  3. $ \star$ R. Bacher, Spin models for chord diagrams, Université de Grenoble I preprint, May 1998.

  4. $ \star$ J. C. Baez, Link invariants of finite type and perturbation theory, Lett. Math. Phys. 26 (1992) 43-51, arXiv:hep-th/9207041.

  5. $ \star$ D. Bar-Natan, Weights of Feynman diagrams and the Vassiliev knot invariants, Princeton University preprint, February 1991.

  6. $ \star$ D. Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423-472.

  7. $ \star$ D. Bar-Natan, Vassiliev homotopy string link invariants, Jour. of Knot Theory and its Ramifications 4 (1995) 13-32.

  8. $ \star$ D. Bar-Natan, Non-associative tangles, in Geometric topology (proceedings of the Georgia international topology conference), (W. H. Kazez, ed.), 139-183, Amer. Math. Soc. and International Press, Providence, 1997.

  9. $ \star$ D. Bar-Natan, Some computations related to Vassiliev invariants, electronic publication (circa 1996), http://www.math.toronto.edu/~drorbn/LOP.html#Computations.

  10. $ \star$ D. Bar-Natan, Vassiliev and quantum invariants of braids, in Proc. of Symp. in Appl. Math. 51 (1996) 129-144, The interface of knots and physics, (L. H. Kauffman, ed.), Amer. Math. Soc., Providence.

  11. $ \star$ D. Bar-Natan, Polynomial invariants are polynomial, Math. Res. Lett. 2 (1995) 239-246. See also q-alg/9606025.

  12. $ \star$ D. Bar-Natan, Lie algebras and the Four Color Theorem, Combinatorica 17-1 (1997) 43-52, arXiv:q-alg/9606016.

  13. $ \star$ D. Bar-Natan, Bracelets and the Goussarov filtration of the space of knots, Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs 4 1-12, arXiv:math.GT/0111267.

  14. $ \star$ D. Bar-Natan, From astrology to topology via Feynman diagrams and Lie algebras, Rendiconti Del Circolo Matematico Di Palermo Serie II 63 (2000) 11-16.

  15. $ \star$ D. Bar-Natan, Finite type invariants, Toronto University preprint, August 2004, arXiv:math.GT/0408182.

  16. $ \star$ D. Bar-Natan and S. Garoufalidis, On the Melvin-Morton-Rozansky conjecture, Invent. Math. 125 (1996) 103-133.

  17. $ \star$ D. Bar-Natan, S. Garoufalidis, L. Rozansky and D. P. Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot, Israel Journal of Mathematics 119 (2000) 217-237, arXiv:q-alg/9703025.

  18. $ \star$ D. Bar-Natan, S. Garoufalidis, L. Rozansky and D. P. Thurston, The Århus integral of rational homology 3-spheres I: A highly non trivial flat connection on $ S^3$, Selecta Mathematica, New Series 8 (2002) 315-339, arXiv:q-alg/9706004.

  19. $ \star$ D. Bar-Natan, S. Garoufalidis, L. Rozansky and D. P. Thurston, The Århus integral of rational homology 3-spheres II: Invariance and universality, Selecta Mathematica, New Series 8 (2002) 341-371, arXiv:math.QA/9801049.

  20. $ \star$ D. Bar-Natan, S. Garoufalidis, L. Rozansky and D. P. Thurston, The Århus integral of rational homology 3-spheres III: The relation with the Le-Murakami-Ohtsuki invariant, Selecta Mathematica, New Series 10 (2004) 305-324, arXiv:math.QA/9808013.

  21. $ \star$ D. Bar-Natan and R. Lawrence, A Rational Surgery Formula for the LMO Invariant, Israel Journal of Mathematics 140 (2004) 29-60, arXiv:math.GT/0007045.

  22. $ \star$ D. Bar-Natan, T. Q. T. Le and D. P. Thurston, Two applications of elementary knot theory to Lie algebras and Vassiliev invariants, Geometry and Topology 7-1 (2003) 1-31, arXiv:math.QA/0204311.

  23. $ \star$ D. Bar-Natan and A. Stoimenow, The fundamental theorem of Vassiliev invariants, in Proc. of the Århus Conf. Geometry and physics, (J. E. Andersen, J. Dupont, H. Pedersen, and A. Swann, eds.), lecture notes in pure and applied mathematics 184 (1997) 101-134, Marcel Dekker, New-York. See also arXiv:q-alg/9702009.

  24. $ \star$ P. Bellingeri and L. Funar, Braids on surfaces and finite type invariants, Université de Grenoble I and Université de Montpellier II preprint, October 2003, arXiv:math.GT/0309245.

  25. $ \star$ A.-B. Berger and I. Stassen, The skein relation for the $ ({\mathfrak{g}}_2,V)$-link invariant, Comm. Math. Helv. 75-1 (2000) 134-155, arXiv:math.QA/9806136.

  26. $ \star$ A.-B. Berger and I. Stassen, Skein relations for link invariants coming from exceptional Lie algebras, Bern University preprint, September 1998. See also math.QA/9901077.

  27. $ \star$ M. Berger, Hamiltonian dynamics generated by Vassiliev invariants, J. Physics A 34 (2001) 1363-1374.

  28. $ \star$ M. Berger, Topological invariants in braid theory, Letters in Mathematical Physics 55 (2001) 181-192.

  29. $ \star$ J. S. Birman, New points of view in knot theory, Bull. Amer. Math. Soc. 28 (1993) 253-287. See also math.GT/9304209.

  30. $ \star$ J. S. Birman, On the combinatorics of Vassiliev invariants, in Braid groups, knot theory and statistical mechanics II Adv. Ser. Math. Phys. 17 (C. N. Yang and M. L. Ge, eds.), World Scientific, New-Jersey 1994, 1-19.

  31. $ \star$ J. S. Birman, Vassiliev invariants of knots and links: a survey, transparencies and video of MSRI lecture, June 1998.

  32. $ \star$ J. S. Birman and X-S. Lin, Knot polynomials and Vassiliev's invariants, Invent. Math. 111 (1993) 225-270.

  33. $ \star$ J. S. Birman and R. Trapp, Braided Chord Diagrams, Jour. of Knot Theory and its Ramifications 7(1) (1998) 1-22. See also math.GT/9804020.

  34. $ \star$ B. Bollobás and O. Riordan, Linearized chord diagrams and an upper bound for Vassiliev invariants, Jour. of Knot Theory and its Ramifications 9(7) (2000) 847-853.

  35. $ \star$ R. Bott, Configuration spaces and imbedding problems, in Proc. of the Århus Conf. Geometry and physics, (J. E. Andersen, J. Dupont, H. Pedersen, and A. Swann, eds.), lecture notes in pure and applied mathematics 184 (1997) 135-140, Marcel Dekker, New-York.

  36. $ \star$ R. Bott, Configuration space invariants of knots and 3-manifolds, transparencies and video of MSRI lecture, October 1998.

  37. $ \star$ R. Bott and C. Taubes, On the self-linking of knots, Jour. Math. Phys. 35 (1994).

  38. $ \star$ D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants, Open University UK preprint, September 1997, arXiv:q-alg/9709031.

  39. $ \star$ D. J. Broadhurst and D. Kreimer, Feynman diagrams as a weight system: four-loop test of a four-term relation, hep-th/9612011, Open University UK (OUT-4102-66), and Mainz University (MZ-TH/96-37) preprint, November 1996.

  40. $ \star$ R. Budney, J. Conant, K. P. Scannell and D. Sinha, New perspectives on self-linking, to appear in Advances in Mathematics, arXiv:math.GT/0303034.

  41. $ \star$ D. Bullock, C. Frohman and J. Kania-Bartoszynska, Understanding the Kauffman bracket skein module, Jour. of Knot Theory and its Ramifications 8(3) (1999) 265-277, arXiv:q-alg/9604013.

  42. $ \star$ U. Burri, For a fixed Turaev shadow all ``Jones-Vassiliev'' invariants depend polynomially on the gleams, University of Basel preprint, March 1995.

  43. $ \star$ U. Burri, Vassiliev invariants and gleam polynomials, q-alg 9605019 preprint, May 1996.


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Next: References beginning with C Up: References Previous: References beginning with A   Contents
Dror Bar-Natan 2005-06-30