Frozen Bibliography of Vassiliev Invariants
Dror Bar-Natan
Date:
Jun. 30, 2005; Entries: 576
Department of Mathematics
University of Toronto
Toronto Ontario M5S 3G3
Canada
drorbn@math.toronto.edu
This is a partial bibliography of papers on Vassiliev invariants. It
aims to be a complete listing of all the papers on the subject, but at
this time, it still fails. If your paper (or a paper you are aware of)
is omitted (or abused in any other way), it is simply because of the
haphazard way by which this bibliography is organized, and not because
of a secret plan of mine to ruin your (or anybody else's) reputation.
Let me know (please
I want this bibliography to be as complete
as possible!) and it will be fixed. Allow me just one selfish rule: I
will not enter any paper into this bibliography unless I have (or I am
given) a copy of it.
If you know of hyperlinks to add, please let me know!
Other file formats:
(TeX requires
html.sty).
The
version exists in a SPLIT edition for easier browsing, and in
a LONG edition for easier
searching and printing.
List of Additions
Following a suggestion by
Simon
Willerton, here's a list of
additions to this bibliography, beyond the first 100 papers (time
ordered within each month, but the months are reverse-time-ordered):
- May 2005: [C1].
- April 2005: --
- March 2005: [T13],
[H14], [G17],
[C35].
- February 2005: [V22].
- January 2005: [C21],
[M30].
- December 2004: [B1],
[Y4],
[M37].
- November 2004: [G32],
[L27],
[L28], [T10].
- October 2004: [M5],
[K26].
- September 2004: [K62],
[C30].
- August 2004: [Z1],
[B14], [B15],
[K9], [K4],
[K5], [C20].
- July 2004: [E10],
[P23], [M29],
[P18].
- June 2004: [O11], [M18],
[M4], [C34],
[P5].
- May 2004: [S29],
[T17],
[T19],
[K10],
[K11].
- April 2004: --
- March 2004: --
- February 2004: [C36],
[C33], [M19],
[M20], [S12].
- January 2004: [A20],
[V21].
- December 2003: [M21],
[M28].
- November 2003: [T7].
- October 2003: [S10],
[N15], [N16]
[N4], [M3],
[G12], [T3],
[M11], [M12],
[M13], [O10],
[S11], [B24],
[N2], [M8].
- September 2003: [M7],
[G45].
- August 2003: [M2],
[C6].
- July 2003: --
- June 2003: --
- May 2003: [V20],
[K47], [B40].
- April 2003: [K41], [N9],
[N10], [S1].
- March 2003: --
- February 2003: [F12].
- January 2002: [R5],
[F7].
- December 2002: --
- November 2002: [M40].
- October 2002: [K57]
[L26], [M9].
- September 2002: [C14],
[H12], [M16],
[C38],
[B34],
[J3], [K46].
- August 2002: --
- July 2002: [N14], [M6].
- June 2002: [G31]
[G11].
- May 2002: [H4],
[G33], [B27],
[B28].
- April 2002: [L39],
[M15],
[B22],
[V19], [Z3].
- March 2002: [G26],
[S4].
- February 2002: [P21],
[P4], [O9],
[S17].
- January 2002: [G9],
[G10], [S20],
[O15], [R13],
[F6], [P13].
- December 2001: [R2],
[R3], [S9],
[E1], [E2],
[E3],
[E4],
[E5],
[E6].
- November 2001: [M10],
[N8], [K52],
[T18], [B13].
- October 2001: [Q1],
[C32],
[G16],
[P2], [P3],
[G43] (English).
- September 2001: --
- August 2001: --
- July 2001: --
- June 2001: [L55],
[T9], [R12],
[T2].
- May 2001: [G15],
[W9].
- April 2001: [Y3],
[H20], [J7],
[J2], [Y1],
[O18], [J5],
[J4], [O14],
[N1], [L38].
- March 2001: [M22],
[N13].
- February 2001: [G24],
[G25].
- January 2001: --
- December 2000: [C13],
[F5], [L51],
[C37].
- November 2000: [L30],
[D5].
- October 2000: [K42],
[T8], [L50],
[L46], [M31].
- September 2000: [V18], [S8],
[V10].
- August 2000: [M42].
- July 2000: [B21],
[L4].
- June 2000: [G23],
[G34],
[P24], [T6],
[O1].
- May 2000: [H19],
[C12], [V13],
[K56],
[H15], [A19].
- April 2000: [O2],
[M27], [L25],
[G13].
- March 2000: [T1],
[M52], [B36],
[G7],
[G30],
[G8], [F4].
- February 2000: [T4],
[E8], [E9],
[L3], [S6],
[S7].
- January 2000: [V9], [L37],
[K55].
- December 1999: [C3],
[B2], [N11],
[K61].
- November 1999: [K43],
[C5],
[P25],
[O6],
[H8], [S5],
[D12],
[D13],
[P12], [V16],
[V17], [L24],
[R11], [O7],
[O8], [F15].
- October 1999: --
- Spetember 1999: [L36],
[B31], [S50],
[F8],
[S51], [S52],
[M43],
[D11].
- August 1999: --
- July 1999: [O24], [R4],
[S28], [M41],
[G43],
[C11], [C31].
- June 1999: [C10],
[A16] [K38],
[K39], [K40],
[L15].
- May 1999: [G22],
[A18], [M26],
[L2],
[M48], [T14].
[T15], [T16].
- April 1999: [E7].
- March 1999: [M1], [W8],
[S30], [M47],
[N12].
- February 1999: [M46],
[P11].
- January 1999: [K54],
[A15],
[B26], [C9].
- December 1998: [M49],
[G41], [G42],
[P16], [P17],
[H9], [L8],
[J1],
[S13], [S14],
[P10], [M25].
- November 1998: [P1],
[L35], [G6],
[K24], [K25],
[L29], [F3],
[H11],
[H18],
[Z2], [K3],
[C8].
- October 1998: [G44],
[S48], [S49],
[B3] [L54].
- September 1998: [K13], [K14],
[C29].
- August 1998: [V6],
[B20],
[D10],
[R1], [O16],
[O17], [C7],
[H10].
- July 1998: [M23],
[S47], [L7],
[S27], [M24].
- June 1998: [K35],
[G2],
[L34], [B25].
- May 1998: [H7], [H3],
[S26], [F11],
- April 1998: [B33].
[K8], [P15],
[K37], [K19].
- March 1998: [S42],
[S43], [S44],
[S45], [S46],
[O19], [O20].
- February 1998: [L10],
[W7], [L14],
[A3], [A4],
[T12], [M34],
[M35], [M36].
- January 1998: [B19],
[C28].
- December 1997: [L6],
[C22], [W6].
- November 1997: [G1],
[A2].
- October 1997: [Y5],
[J6], [L5].
- September 1997: [C19],
[V11], [W5],
[Y2], [B38]
[D4].
- August 1997: [G5],
[H5].
- July 1997: [K7],
[K2], [P6],
[G14].
- June 1997: [B18],
[L33], [M51],
[S53], [K36],
[S37], [S38],
[S39], [S40],
[S41].
- May 1997: [S15].
- April 1997: [K17],
[G4],
[G27],
[K50], [L13],
[A12].
- March 1997: [H2],
[B17],
[S36], [M17],
[M54], [K30].
- February 1997: [V8],
[M53], [K16].
- January 1997: [R14],
[H6], [O5].
- December 1996: [K51],
[B39], [B35],
[O4], [M50],
[G37], [D2],
[D3], [F10].
- November 1996: [C18],
[C16],
[A14].
- October 1996: [S33],
[S34], [S35],
[H1], [L32].
- September 1996: [K49],
[A13], [M14],
[G21].
- August 1996: [K58],
[P20], [P14],
[K34].
- July 1996: [A11],
[D1],
[L16].
- June 1996: [T5].
- May 1996: [V2],
[D8], [V3],
[C15], [B43].
- April 1996: [A10],
[B41], [L49].
- March 1996: [G20],
[A7], [K53],
[B30], [L31].
- February 1996: [K32],
[F9], [S19],
[K45].
- January 1996: [B23],
[R9], [R10],
[K12], [L48],
[S32].
- December 1995: [O13], [W4],
[S25], [M44],
[M45], [K15],
[L12].
- November 1995: [L1],
[G29],
[H17],
[L23], [K59].
- October 1995: [L47], [F14].
- September 1995: [L53],
[F13], [O22],
[O23], [L9],
[C26], [K6],
[F2],
[G19], [K33],
[N5].
- August 1995: [K29],
[G35], [G36],
[L17],
[G28], [B12].
- July 1995: [S16],
[G40], [V12],
[F1], [V15].
Here are some author's email, http, and ftp addresses (notice that
electronic addresses are constantly changing, so the list below cannot
be reliable. Please let me know if you have any additions/corrections).
I've started this list before spam went out of control. I feel that the
benefit of having it still outweighs the damage it may cause (Some
unwanted mass mailing to all who's interested in finite type invariants
by some publisher? Unpleasant but we can live with that). However, if you
want your name removed please send me a message and I will quickly comply.
Quick Skip Guide:
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I wish to thank N. Askitas, S. Duzhin, G. Kuperberg, V. Liskovets,
K. Selwat, T. Stanford, A. Stoimenow, D. P. Thurston, A. Vaintrob, and
S. Willerton for their comments and suggestions.
Here's a fun piece of email I got: (click with no fear, the link is decent)
Date: Sun, 25 Nov 2001 19:51:53 +0000
From: Alexandre Vassiliev <alexandre_vassiliev@hotmail.com>
To: drorbn@math.huji.ac.il
Subject: vassiliev invariants
DEAR SIR
I DO NOT KNOW WHEATHER MY INVARIANTS ARE OK FOR YOU.
LOOK www.vassiliev.com
WARMEST REGARDS
ALEXANDRE VASSILIEV
References beginning with A
F. Aicardi,
Topological invariants of knots and framed knots in the solid torus,
to appear in C. R. Ac. Sci. Paris, 1995.
A. K. Aiston,
Adams operators and knot decorations,
q-alg/9711015 and Liverpool University preprint, November 1997.
P. M. Akhmetiev,
On a higher-order analog of the linking number of closed curves,
September 1997.
P. M. Akhmetiev and D. Repovs,
A generalization of the Sato-Levine invariant,
September 1997.
D. Altschuler,
Representations of knot groups and Vassiliev invariants,
q-alg/9503015 preprint, March 1995.
D. Altschuler and L. Freidel,
On universal Vassiliev invariants,
hep-th/9403053.
D. Altschuler and L. Freidel,
Vassiliev knot invariants and Chern-Simons perturbation theory
to all orders,
Comm. Math. Phys. 187 (1997) 261-287, arXiv:q-alg/9603010.
M. Alvarez and J. M. F. Labastida,
Numerical knot invariants of finite type from Chern-Simons
perturbation theory,
Nuclear Physics B 433 (1995) 555-596,
arXiv:hep-th/9407076.
M. Alvarez and J. M. F. Labastida,
Vassiliev invariants for torus knots,
Jour. of Knot Theory and its Ramifications 5(6) (1996) 779-803,
arXiv:q-alg/9506009.
M. Alvarez and J. M. F. Labastida,
Primitive Vassiliev invariants and factorization in Chern-Simons
perturbation theory,
Comm. Math. Phys. 189-3 (1997), arXiv:q-alg/9604010.
M. Alvarez, J. M. F. Labastida
and E. Pérez,
Vassiliev invariants for links from Chern-Simons perturbation
theory,
Nuclear Physics B 488 (1997) 677, arXiv:hep-th/9607030.
J. E. Andersen and J. Mattes,
Configuration space integrals and universal Vassiliev invariants
over closed surfaces,
q-alg/9704019
preprint, April 1997.
J. E. Andersen,
J. Mattes and N. Reshetikhin,
The poisson structure on the moduli space of flat connections
and chord diagrams,
Topology 35 (1996) 1069-1083.
J. E. Andersen, J. Mattes
and N. Reshetikhin,
Quantization of the algebra of chord diagrams,
Mathematical Proceedings of the Cambridge Philosophical Society (1998),
arXiv:q-alg/9701018
J. E. Andersen and V. Turaev,
Higher skein modules,
Århus University and MaPhySto preprint, November 1998,
arXiv:math.GT/9812071.
E. Appleboim,
Finite type invariants of links with fixed linking matrix,
Jour. of Knot Theory and its Ramifications, to appear,
arXiv:math.GT/9906138.
V. I. Arnold,
The Vassiliev theory of discriminants and knots,
First European Congress of Mathematics I 3-29, Birkhäuser
Basel 1994.
N. A. Askitas,
A formula in the theory of finite type invariants,
University of Thessaloniki preprint, April 1999,arXiv:math.GT/9904141.
N. A. Askitas and E. Kalfagianni,
On knot adjacency,
Topology and its Applications 126 (2002) 63-81.
E. Auclair and C. Lescop,
Clover calculus for homology 3-spheres via basic algebraic topology,
Algebraic and Geometric Topology 5 (2005) 71-106,
arXiv:math.GT/0401251.
References beginning with B
S. Baader,
A note on Vassiliev invariants of quasipositive knots,
University of Basel preprint, December 2004, arXiv:math.GT/0412453.
E. Babson, A. Björner, S. Linusson,
J. Shareshian and V. Welker,
Complexes of not
-connected graphs,
Topology 38-2 (1999) 271-299, arXiv:math.CO/9705219.
R. Bacher,
Spin models for chord diagrams,
Université de Grenoble I preprint, May 1998.
J. C. Baez,
Link invariants of finite type and perturbation theory,
Lett. Math. Phys. 26 (1992) 43-51, arXiv:hep-th/9207041.
D. Bar-Natan,
Weights of Feynman diagrams and the Vassiliev knot invariants,
Princeton University preprint, February 1991.
D. Bar-Natan,
On the Vassiliev knot invariants,
Topology 34 (1995) 423-472.
D. Bar-Natan,
Vassiliev homotopy string link invariants,
Jour. of Knot Theory and its Ramifications 4 (1995) 13-32.
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.
D. Bar-Natan,
Some computations related to Vassiliev invariants,
electronic publication (circa 1996),
http://www.math.toronto.edu/~drorbn/LOP.html#Computations.
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.
D. Bar-Natan,
Polynomial invariants are polynomial,
Math. Res. Lett. 2 (1995) 239-246. See also
q-alg/9606025.
D. Bar-Natan,
Lie algebras and the Four Color Theorem,
Combinatorica 17-1 (1997) 43-52, arXiv:q-alg/9606016.
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.
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.
D. Bar-Natan,
Finite type invariants,
Toronto University preprint, August 2004, arXiv:math.GT/0408182.
D. Bar-Natan and S. Garoufalidis,
On the Melvin-Morton-Rozansky conjecture,
Invent. Math. 125 (1996) 103-133.
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.
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
,
Selecta Mathematica, New Series 8 (2002) 315-339,
arXiv:q-alg/9706004.
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.
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.
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.
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.
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.
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.
A.-B. Berger and I. Stassen,
The skein relation for the
-link invariant,
Comm. Math. Helv. 75-1 (2000) 134-155,
arXiv:math.QA/9806136.
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.
M. Berger,
Hamiltonian dynamics generated by Vassiliev invariants,
J. Physics A 34 (2001) 1363-1374.
M. Berger,
Topological invariants in braid theory,
Letters in Mathematical Physics 55 (2001) 181-192.
J. S. Birman,
New points of view in knot theory,
Bull. Amer. Math. Soc. 28 (1993) 253-287. See also
math.GT/9304209.
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.
J. S. Birman,
Vassiliev invariants of knots and links: a survey,
transparencies and video of MSRI lecture, June 1998.
J. S. Birman and X-S. Lin,
Knot polynomials and Vassiliev's invariants,
Invent. Math. 111 (1993) 225-270.
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.
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.
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.
R. Bott,
Configuration space invariants of knots and 3-manifolds,
transparencies and video of MSRI lecture, October 1998.
R. Bott and C. Taubes,
On the self-linking of knots,
Jour. Math. Phys. 35 (1994).
D. J. Broadhurst,
Conjectured enumeration of Vassiliev invariants,
Open University UK preprint, September 1997,
arXiv:q-alg/9709031.
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.
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.
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.
U. Burri,
For a fixed Turaev shadow all ``Jones-Vassiliev'' invariants
depend polynomially on the gleams,
University of Basel preprint, March 1995.
U. Burri,
Vassiliev invariants and gleam polynomials,
q-alg 9605019 preprint, May 1996.
References beginning with C
R. Campoamor-Stursberg
and V. O. Manturov,
Invariant Tensors Formulae via Chord Diagrams,
Universidad Complutense and Moscow State University preprint, May 2005,
arXiv:math.GT/0505320.
P. Cartier,
Construction combinatoire des invariants de
Vassiliev-Kontsevich des n
uds,
C. R. Acad. Sci. Paris 316 Série I (1993) 1205-1210.
A. S. Cattaneo,
Configuration space integrals and invariants for 3-manifolds and
knots,
Low Dimensional Topology, ed. H. Nencka, Cont. Math. 233,
(1999) 153-165,
arXiv:math.GT/9912083.
A. S. Cattaneo, P. Cotta-Ramusino,
J. Fröhlich and M. Martellini,
Topological BF theories in 3 and 4 dimensions,
J. Math. Phys. 36 (1995) 6137-6160,
arXiv:hep-th/9505027.
A. S. Cattaneo,
P. Cotta-Ramusino and R. Longoni,
Configuration spaces and Vassiliev classes in any dimension,