Volume 14, issue 6 (2014)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

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

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
Splitting formulas for the LMO invariant of rational homology three–spheres

Gwénaël Massuyeau

Algebraic & Geometric Topology 14 (2014) 3553–3588
Bibliography
1 E Auclair, C Lescop, Clover calculus for homology $3$–spheres via basic algebraic topology, Algebr. Geom. Topol. 5 (2005) 71 MR2135546
2 D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The \AArhus integral of rational homology $3$–spheres, I: A highly nontrivial flat connection on $S^3$, Selecta Math. 8 (2002) 315 MR1931167
3 D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The \AArhus integral of rational homology $3$–spheres, II: Invariance and universality, Selecta Math. 8 (2002) 341 MR1931168
4 D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The \AArhus integral of rational homology $3$–spheres, III: Relation with the Le–Murakami–Ohtsuki invariant, Selecta Math. 10 (2004) 305 MR2099069
5 G E Bredon, Topology and geometry, Graduate Texts in Math. 139, Springer (1993) MR1224675
6 D Cheptea, K Habiro, G Massuyeau, A functorial LMO invariant for Lagrangian cobordisms, Geom. Topol. 12 (2008) 1091 MR2403806
7 D Cimasoni, V Turaev, A generalization of several classical invariants of links, Osaka J. Math. 44 (2007) 531 MR2360939
8 L Crane, D Yetter, On algebraic structures implicit in topological quantum field theories, J. Knot Theory Ramifications 8 (1999) 125 MR1687553
9 N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
10 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
11 K Habiro, G Massuyeau, Symplectic Jacobi diagrams and the Lie algebra of homology cylinders, J. Topol. 2 (2009) 527 MR2546585
12 T Kerler, Towards an algebraic characterization of $3$–dimensional cobordisms, from: "Diagrammatic morphisms and applications" (editors D E Radford, F J O Souza, D N Yetter), Contemp. Math. 318, Amer. Math. Soc. (2003) 141 MR1973515
13 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 M Buchstaber, S P Novikov), Amer. Math. Soc. Transl. Ser. 2 179, Amer. Math. Soc. (1997) 75 MR1437158
14 T T Q Le, J Murakami, Representation of the category of tangles by Kontsevich's iterated integral, Comm. Math. Phys. 168 (1995) 535 MR1328252
15 T T Q Le, J Murakami, The universal Vassiliev–Kontsevich invariant for framed oriented links, Compositio Math. 102 (1996) 41 MR1394520
16 T T Q Le, J Murakami, T Ohtsuki, On a universal perturbative invariant of $3$–manifolds, Topology 37 (1998) 539 MR1604883
17 C Lescop, Splitting formulae for the Kontsevich–Kuperberg–Thurston invariant of rational homology $3$–spheres, arXiv:math.GT/0411431
18 C Lescop, A sum formula for the Casson–Walker invariant, Invent. Math. 133 (1998) 613 MR1645066
19 C Lescop, Surgery formulae for finite type invariants of rational homology $3$–spheres, Algebr. Geom. Topol. 9 (2009) 979 MR2511138
20 G Massuyeau, J B Meilhan, Equivalence relations for homology cylinders and the core of the Casson invariant, Trans. Amer. Math. Soc. 365 (2013) 5431 MR3074379
21 S V Matveev, Generalized surgeries of three-dimensional manifolds and representations of homology spheres, Mat. Zametki 42 (1987) 268, 345 MR915115
22 I Moffatt, The \AArhus integral and the $\mu$–invariants, J. Knot Theory Ramifications 15 (2006) 361 MR2217502
23 D Moussard, Finite type invariants of rational homology $3$–spheres, Algebr. Geom. Topol. 12 (2012) 2389 MR3020211
24 H Murakami, Y Nakanishi, On a certain move generating link-homology, Math. Ann. 284 (1989) 75 MR995383
25 T Ohtsuki, Quantum invariants, Series on Knots and Everything 29, World Scientific (2002) MR1881401
26 K Walker, An extension of Casson's invariant, Annals of Math. Studies 126, Princeton Univ. Press (1992) MR1154798