Algebraic & Geometric Topology Volume 14, issue 3 (2014)

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Abelian quotients of the string link monoid

Jean-Baptiste Meilhan and Akira Yasuhara

Algebraic & Geometric Topology 14 (2014) 1461–1488

DOI: 10.2140/agt.2014.14.1461

Bibliography

1	D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423 MR1318886
2	D Bar-Natan, Vassiliev and quantum invariants of braids, from: "The interface of knots and physics" (editor L H Kauffman), Proc. Sympos. Appl. Math. 51, Amer. Math. Soc. (1996) 129 MR1372767
3	J E P P de Campos, Boundary theta curves in $S^3$, Tokyo J. Math. 28 (2005) 283 MR2149637
4	A J Casson, Link cobordism and Milnor's invariant, Bull. London Math. Soc. 7 (1975) 39 MR0362286
5	T D Cochran, Derivatives of links: Milnor's concordance invariants and Massey's products, Mem. Amer. Math. Soc. 427, Amer. Math. Soc. (1990) MR1042041
6	J Conant, R Schneiderman, P Teichner, Whitney tower concordance of classical links, Geom. Topol. 16 (2012) 1419 MR2967057
7	J Conant, P Teichner, Grope cobordism of classical knots, Topology 43 (2004) 119 MR2030589
8	S V Duzhin, M V Karev, Determination of the orientation of string links using finite-type invariants, Funktsional. Anal. i Prilozhen. 41 (2007) 48 MR2381954
9	S Garoufalidis, J Levine, Concordance and $1$–loop clovers, Algebr. Geom. Topol. 1 (2001) 687 MR1875612
10	M N Gusarov, Variations of knotted graphs: The geometric technique of $n$–equivalence, Algebra i Analiz 12 (2000) 79 MR1793618
11	N Habegger, X S Lin, On link concordance and Milnor's $\bar {\mu}$ invariants, Bull. London Math. Soc. 30 (1998) 419 MR1620841
12	N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
13	K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
14	J Y Le Dimet, Cobordisme d'enlacements de disques, Mém. Soc. Math. France 32, Soc. Math. France (1988) MR971415
15	G Massuyeau, Finite-type invariants of $3$–manifolds and the dimension subgroup problem, J. Lond. Math. Soc. 75 (2007) 791 MR2352736
16	J B Meilhan, On Vassiliev invariants of order two for string links, J. Knot Theory Ramifications 14 (2005) 665 MR2162120
17	J B Meilhan, A Yasuhara, Characterization of finite type string link invariants of degree $\lt 5$, Math. Proc. Cambridge Philos. Soc. 148 (2010) 439 MR2609302
18	J Milnor, Isotopy of links: Algebraic geometry and topology, from: "A symposium in honor of S Lefschetz", Princeton Univ. Press (1957) 280 MR0092150
19	K Miyazaki, The theta-curve cobordism group is not abelian, Tokyo J. Math. 17 (1994) 165 MR1279576
20	H Murakami, Y Nakanishi, On a certain move generating link-homology, Math. Ann. 284 (1989) 75 MR995383
21	K Y Ng, Groups of ribbon knots, Topology 37 (1998) 441 MR1489214
22	T Ohtsuki, Quantum invariants: A study of knots, $3$–manifolds, and their sets, Series on Knots and Everything 29, World Scientific (2002) MR1881401
23	T Stanford, Braid commutators and Vassiliev invariants, Pacific J. Math. 174 (1996) 269 MR1398378
24	Y Takabatake, T Kuboyama, H Sakamoto, stringcmp: Faster calculation for Milnor invariant
25	A Yasuhara, $C_k$–moves on spatial theta-curves and Vassiliev invariants, Topology Appl. 128 (2003) 309 MR1957422