Algebraic & Geometric Topology Volume 6, issue 5 (2006)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

On surgery along Brunnian links in $3$–manifolds

Jean-Baptiste Meilhan

Algebraic & Geometric Topology 6 (2006) 2417–2453

DOI: 10.2140/agt.2006.6.2417

Bibliography

1	D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423 MR1318886
2	T D Cochran, P Melvin, Finite type invariants of 3-manifolds, Invent. Math. 140 (2000) 45 MR1779798
3	J Conant, P Teichner, Grope cobordism of classical knots, Topology 43 (2004) 119 MR2030589
4	S Garoufalidis, M Goussarov, M Polyak, Calculus of clovers and finite type invariants of 3-manifolds, Geom. Topol. 5 (2001) 75 MR1812435
5	S Garoufalidis, J Levine, Finite type $3$-manifold invariants, the mapping class group and blinks, J. Differential Geom. 47 (1997) 257 MR1601612
6	S Garoufalidis, T Ohtsuki, On finite type $3$-manifold invariants. III. Manifold weight systems, Topology 37 (1998) 227 MR1489202
7	M Goussarov, Finite type invariants and $n$-equivalence of $3$-manifolds, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999) 517 MR1715131
8	M Goussarov, Variations of knotted graphs. The geometric technique of $n$-equivalence, Algebra i Analiz 12 (2000) 79 MR1793618
9	N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
10	N Habegger, K E Orr, Finite type three manifold invariants—realization and vanishing, J. Knot Theory Ramifications 8 (1999) 1001 MR1723435
11	K Habiro, Brunnian links, claspers, and Goussarov–Vassiliev finite type invariants
12	K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
13	K Habiro, J B Meilhan, Finite type invariants and Milnor invariants for Brunnian links arXiv:math.GT/0510534
14	K Habiro, J B Meilhan, On the Kontsevich integral of Brunnian links, Algebr. Geom. Topol. 6 (2006) 1399 MR2253452
15	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" (editors V Buchstaber, S Novikov), Amer. Math. Soc. Transl. Ser. 2 179, Amer. Math. Soc. (1997) 75 MR1437158
16	S V Matveev, Generalized surgeries of three-dimensional manifolds and representations of homology spheres, Mat. Zametki 42 (1987) 268, 345 MR915115
17	J B Meilhan, Invariants de type fini des cylindres d'homologie et des string links, PhD thesis, Université de Nantes (2003)
18	H A Miyazawa, A Yasuhara, Classification of $n$-component Brunnian links up to $C_n$-move, Topology Appl. 153 (2006) 1643 MR2227018
19	T Ohtsuki, Finite type invariants of integral homology $3$-spheres, J. Knot Theory Ramifications 5 (1996) 101 MR1373813
20	T Ohtsuki, Quantum invariants, Series on Knots and Everything 29, World Scientific Publishing Co. (2002) MR1881401