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1
D Bar-Natan ,
Weights of Feynman diagrams and the Vassiliev knot
invariants , preprint (1991)
2
D Bar-Natan ,
On
the Vassiliev knot invariants , Topology 34 (1995) 423
MR1318886
3
D Bar-Natan ,
Vassiliev homotopy
string link invariants , J. Knot Theory Ramifications 4
(1995) 13 MR1321289
4
J S Birman ,
X S Lin , Knot polynomials and
Vassiliev’s invariants , Invent. Math. 111 (1993) 225
MR1198809
5
R Bott , C
Taubes , On
the self-linking of knots , J. Math. Phys. 35 (1994)
5247 MR1295465
6
R Budney , Topology of knot spaces
in dimension 3 , Proc. Lond.
Math. Soc. 101 (2010) 477 MR2679699
7
R Budney , F
Cohen , On the homology of the
space of knots , Geom. Topol. 13 (2009) 99 MR2469515
8
A S Cattaneo ,
P Cotta-Ramusino , R Longoni , Configuration spaces
and Vassiliev classes in any dimension , Algebr. Geom.
Topol. 2 (2002) 949 MR1936977
9
K T Chen ,
Iterated path
integrals , Bull. Amer. Math. Soc. 83 (1977) 831
MR454968
10
S Chmutov , S
Duzhin , J Mostovoy , Introduction to
Vassiliev knot invariants , Cambridge Univ. Press (2012)
MR2962302
11
L S Cirio , J
Faria Martins , Categorifying
the Knizhnik–Zamolodchikov connection , Differential
Geom. Appl. 30 (2012) 238 MR2922642
12
V G Drinfeld ,
Quasi-Hopf
algebras and Knizhnik–Zamolodchikov equations , from:
"Problems of modern quantum field theory" (editors A A
Belavin, A U Klimyk, A B Zamolodchikov), Springer
(1989) 1 MR1091757
13
V G Drinfeld ,
On quasitriangular
quasi-Hopf algebras and on a group that is closely connected
with Gal ( ℚ ∕ ℚ ) , Algebra i Analiz 2 (1990) 149
MR1080203
14
T Fiedler , Quantum
one-cocycles for knots , preprint (2013) arXiv:1304.0970
15
T Fiedler ,
Singularization of knots and closed braids , preprint
(2014) arXiv:1405.5562
16
T Fiedler , Knot
polynomials from 1 –cocycles ,
preprint (2017) arXiv:1709.10332
17
A Hatcher , Spaces
of knots , preprint (1999) arXiv:math/9909095
18
T Kohno , Monodromy
representations of braid groups and Yang–Baxter
equations , Ann. Inst. Fourier ( Grenoble) 37
(1987) 139 MR927394
19
T Kohno , Conformal field theory and
topology , 210, Amer. Math. Soc. (2002) MR1905659
20
M Kontsevich ,
Vassiliev’s knot
invariants , from: "I M Gelfand Seminar, II" (editors S
Gelfand, S Gindikin), Adv. Soviet Math. 16, Amer. Math. Soc.
(1993) 137 MR1237836
21
J M F
Labastida , E Pérez , Kontsevich integral for
Vassiliev invariants from Chern–Simons perturbation theory in
the light-cone gauge , J. Math. Phys. 39 (1998) 5183
MR1642313
22
C Lescop ,
Introduction to the Kontsevich integral of framed
tangles , preprint (2000)
23
C Lescop , On configuration space
integrals for links , from: "Invariants of knots and
3 –manifolds" (editors T Ohtsuki, T
Kohno, T Le, J Murakami, J Roberts, V Turaev), Geom. Topol.
Monogr. 4, Geom. Topol. Publ. (2002) 183 MR2002610
24
R Longoni , Nontrivial classes
in H ∗ ( Imb ( 𝕊 1 ,
ℝ n )) from
nontrivalent graph cocycles , Int. J. Geom. Methods Mod.
Phys. 1 (2004) 639 MR2095442
25
A Mortier , Combinatorial
cohomology of the space of long knots , Algebr. Geom.
Topol. 15 (2015) 3435 MR3450767
26
A Mortier , Finite-type
1 –cocycles of knots given by
Polyak–Viro formulas , J. Knot Theory Ramifications 24
(2015) MR3402897
27
A Mortier , A simplification in
Vassiliev’s spectral sequence , J. Knot Theory
Ramifications 27 (2018) MR3749504
28
J Mostovoy , T
Stanford , On a map from pure
braids to knots , J. Knot Theory Ramifications 12 (2003)
417 MR1983095
29
Ş Papadima ,
The
universal finite-type invariant for braids, with integer
coefficients , Topology Appl. 118 (2002) 169 MR1877723
30
K E Pelatt ,
D P Sinha , A geometric homology
representative in the space of knots , from: "Manifolds
and K –theory" (editors G Arone, B
Johnson, P Lambrechts, B A Munson, I Volić), Contemp.
Math. 682, Amer. Math. Soc. (2017) 167 MR3603898
31
K Sakai , Nontrivalent graph
cocycle and cohomology of the long knot space , Algebr.
Geom. Topol. 8 (2008) 1499 MR2443252
32
K Sakai , An integral
expression of the first nontrivial one-cocycle of the space of
long knots in ℝ 3 , Pacific J. Math. 250 (2011) 407
MR2794607
33
V Turchin , Calculation of the first
nontrivial 1 –cocycle in the space
of long knots , Mat. Zametki 80 (2006) 105 MR2280743
34
V A Vassiliev ,
Cohomology of knot spaces , from: "Theory of
singularities and its applications" (editor V I Arnold),
Adv. Soviet Math. 1, Amer. Math. Soc. (1990) 23 MR1089670
35
V A Vassiliev ,
Complements of discriminants of smooth maps: topology and
applications , 98, Amer. Math. Soc. (1992) MR1168473
36
V A Vassiliev ,
Topology of
two-connected graphs and homology of spaces of knots ,
from: "Differential and symplectic topology of knots and
curves" (editor S Tabachnikov), Amer. Math. Soc. Transl. 190,
Amer. Math. Soc. (1999) 253 MR1738399
37
V A Vassiliev ,
Combinatorial
formulas for cohomology of knot spaces , Mosc. Math. J.
1 (2001) 91 MR1852936