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Periodicity of Goussarov–Vassiliev knot invariants

Stavros Garoufalidis

Geometry & Topology Monographs 4 (2002) 43–54

DOI: 10.2140/gtm.2002.4.43

Bibliography
1 D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423–472 MR1318886
2 D Bar-Natan, S Garoufalidis, On the Melvin–Morton–Rozansky conjecture, Invent. Math. 125 (1996) 103–133 MR1389962
3 D Bar-Natan, R Lawrence, A rational surgery formula for the LMO invariant, Israel J. Math. 140 (2004) 29–60 MR2054838
4 V G Drinfel'd, Quasi–Hopf algebras, Algebra i Analiz 1 (1989) 114–148 MR1047964
5 M H Freedman, A new technique for the link slice problem, Invent. Math. 80 (1985) 453–465 MR791669
6 M H Freedman, The disk theorem for four-dimensional manifolds, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983)", PWN (1984) 647–663 MR804721
7 M H Freedman, F Quinn, Topology of 4–manifolds, Princeton Mathematical Series 39, Princeton University Press (1990) MR1201584
8 S Garoufalidis, M Goussarov, M Polyak, Calculus of clovers and finite type invariants of 3–manifolds, Geom. Topol. 5 (2001) 75–108 MR1812435
9 S Garoufalidis, A Kricker, A rational noncommutative invariant of boundary links, Geom. Topol. 8 (2004) 115–204 MR2033481
10 S Garoufalidis, A Kricker, Finite type invariants of cyclic branched covers, Topology 43 (2004) 1247–1283 MR2081426
11 S Garoufalidis, A Kricker, A surgery view of boundary links, Math. Ann. 327 (2003) 103–115 MR2005123
12 S Garoufalidis, L Rozansky, The loop expansion of the Kontsevich integral, the null-move and S–equivalence, Topology 43 (2004) 1183–1210 MR2080000
13 S Garoufalidis, Whitehead doubling persists, Algebr. Geom. Topol. 4 (2004) 935–942 MR2100686
14 S Garoufalidis, Beads: from Lie algebras to Lie groups arXiv:math.GT/0201056
15 S Garoufalidis, P Teichner, On knots with trivial Alexander polynomial, J. Differential Geom. 67 (2004) 167–193 MR2153483
16 S Garoufalidis, P Teichner, in preparation
17 M Goussarov, Finite type invariants and n–equivalence of 3–manifolds, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999) 517–522 MR1715131
18 M N Gusarov, Variations of knotted graphs. The geometric technique of n–equivalence, Algebra i Analiz 12 (2000) 79–125 MR1793618 Translation in St. Petersburg Math. J. 12 (2001) 569–604
19 N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253–1289 MR1783857
20 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1–83 MR1735632
21 V F R Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. (2) 126 (1987) 335–388 MR908150
22 A Kricker, The lines of the Kontsevich integral and Rozansky's Rationality Conjecture arXiv:math.GT/0005284
23 A Kricker, A surgery formula for the 2–loop piece of the LMO invariant of a pair, from: "Invariants of knots and 3–manifolds (Kyoto, 2001)", Geom. Topol. Monogr. 4, Geom. Topol. Publ., Coventry (2002) 161–181 MR2002609
24 J P Levine, Link concordance and algebraic closure II, Invent. Math. 96 (1989) 571–592 MR996555
25 H Murakami, J Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001) 85–104 MR1828373
26 H Murakami, Y Nakanishi, On a certain move generating link-homology, Math. Ann. 284 (1989) 75–89 MR995383
27 B Patureau-Mirand, Non-injectivity of the “hair” map arXiv:math.GT/0202065
28 L Rozansky, The universal R–matrix, Burau representation, and the Melvin–Morton expansion of the colored Jones polynomial, Adv. Math. 134 (1998) 1–31 MR1612375
29 L Rozansky, A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial, from: "Proceedings of the Pacific Institute for the Mathematical Sciences Workshop “Invariants of Three–Manifolds” (Calgary, AB, 1999)" (2003) 47–76 MR1953320
30 L Rozansky, On p–adic convergence of perturbative invariants of some rational homology spheres, Duke Math. J. 91 (1998) 353–379 MR1600594