Volume 6, issue 5 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
On surgery along Brunnian links in $3$–manifolds

Jean-Baptiste Meilhan

Algebraic & Geometric Topology 6 (2006) 2417–2453

arXiv: math.GT/0603421

Abstract

We consider surgery moves along (n + 1)–component Brunnian links in compact connected oriented 3–manifolds, where the framing of the components is in {1 k  ; k Z}. We show that no finite type invariant of degree < 2n 2 can detect such a surgery move. The case of two link-homotopic Brunnian links is also considered. We relate finite type invariants of integral homology spheres obtained by such operations to Goussarov–Vassiliev invariants of Brunnian links.

Keywords
3-manifolds, finite type invariants, Brunnian links, Goussarov-Vassiliev invariants, claspers
Mathematical Subject Classification 2000
Primary: 57N10
Secondary: 57M27
References
Forward citations
Publication
Received: 30 May 2006
Accepted: 14 November 2006
Published: 13 December 2006
Authors
Jean-Baptiste Meilhan
Research Institute for Mathematical Sciences
Kyoto University
Kyoto 606-8502
Japan