Algebraic & Geometric Topology Volume 6, issue 3 (2006)

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On the Kontsevich integral of Brunnian links

Kazuo Habiro and Jean-Baptiste Meilhan

Algebraic & Geometric Topology 6 (2006) 1399–1412

DOI: 10.2140/agt.2006.6.1399

Bibliography

1	D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423 MR1318886
2	D Bar-Natan, Vassiliev homotopy string link invariants, J. Knot Theory Ramifications 4 (1995) 13 MR1321289
3	D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot, Israel J. Math. 119 (2000) 217 MR1802655
4	D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The \AArhus integral of rational homology 3–spheres II: Invariance and universality, Selecta Math. $($N.S.$)$ 8 (2002) 341 MR1931168
5	D Bar-Natan, T T Q Le, D P Thurston, Two applications of elementary knot theory to Lie algebras and Vassiliev invariants, Geom. Topol. 7 (2003) 1 MR1988280
6	S V Chmutov, S V Duzhin, An upper bound for the number of Vassiliev knot invariants, J. Knot Theory Ramifications 3 (1994) 141 MR1279917
7	S Chmutov, S Duzhin, The Kontsevich integral, Acta Appl. Math. 66 (2001) 155 MR1837618
8	T D Cochran, Concordance invariance of coefficients of Conway's link polynomial, Invent. Math. 82 (1985) 527 MR811549
9	S Garoufalidis, T Ohtsuki, On finite type 3–manifold invariants III: Manifold weight systems, Topology 37 (1998) 227 MR1489202
10	M N Goussarov, A new form of the Conway–Jones polynomial of oriented links, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 193 (1991) 4, 161 MR1157140
11	M Goussarov, On $n$–equivalence of knots and invariants of finite degree, from: "Topology of manifolds and varieties", Adv. Soviet Math. 18, Amer. Math. Soc. (1994) 173 MR1296895
12	M N Goussarov, Variations of knotted graphs. The geometric technique of $n$–equivalence, Algebra i Analiz 12 (2000) 79 MR1793618
13	N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
14	K Habiro, Brunnian links, claspers, and Goussarov–Vassiliev finite type invariants, to appear in Math. Proc. Camb. Phil. Soc.
15	K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
16	K Habiro, J B Meilhan, Finite type invariants and Milnor invariants for Brunnian links arXiv:math.GT/0510534
17	M Kontsevich, Vassiliev's knot invariants, from: "I. M. Gel'fand Seminar", Adv. Soviet Math. 16, Amer. Math. Soc. (1993) 137 MR1237836
18	T T Q Le, An invariant of integral homology 3–spheres which is universal for all finite type invariants, from: "Solitons, geometry, and topology: on the crossroad", Amer. Math. Soc. Transl. Ser. 2 179, Amer. Math. Soc. (1997) 75 MR1437158
19	T T Q Le, J Murakami, Parallel version of the universal Vassiliev–Kontsevich invariant, J. Pure Appl. Algebra 121 (1997) 271 MR1477611
20	T T Q Le, J Murakami, T Ohtsuki, On a universal perturbative invariant of 3–manifolds, Topology 37 (1998) 539 MR1604883
21	C Lescop, Introduction to the Kontsevich integral of framed tangles, lecture notes (1999)
22	X S Lin, Power series expansions and invariants of links, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 184 MR1470727
23	J B Meilhan, On surgery along Brunnian links in 3–manifolds arXiv:math.GT/0603421
24	J Milnor, Link groups, Ann. of Math. $(2)$ 59 (1954) 177 MR0071020
25	T Ohtsuki, Finite type invariants of integral homology 3–spheres, J. Knot Theory Ramifications 5 (1996) 101 MR1373813
26	T Ohtsuki, Quantum invariants, Series on Knots and Everything 29, World Scientific Publishing Co. (2002) MR1881401
27	D P Thurston, Wheeling: A diagrammatic analogue of the Duflo isomorphism, PhD thesis, University of California Berkeley (2000) arXiv:math.QA/0006083
28	V A Vassiliev, Cohomology of knot spaces, from: "Theory of singularities and its applications", Adv. Soviet Math. 1, Amer. Math. Soc. (1990) 23 MR1089670