Volume 20, issue 1 (2020)

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

Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Splitting formulas for the rational lift of the Kontsevich integral

Delphine Moussard

Algebraic & Geometric Topology 20 (2020) 303–342
Bibliography
1 D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423 MR1318886
2 D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The Århus integral of rational homology 3–spheres, I : A highly non trivial flat connection on S3, Selecta Math. 8 (2002) 315 MR1931167
3 D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, The Århus integral of rational homology 3–spheres, II : Invariance and universality, Selecta Math. 8 (2002) 341 MR1931168
4 D Bar-Natan, R Lawrence, A rational surgery formula for the LMO invariant, Israel J. Math. 140 (2004) 29 MR2054838
5 D Cheptea, K Habiro, G Massuyeau, A functorial LMO invariant for Lagrangian cobordisms, Geom. Topol. 12 (2008) 1091 MR2403806
6 S Garoufalidis, M Goussarov, M Polyak, Calculus of clovers and finite type invariants of 3–manifolds, Geom. Topol. 5 (2001) 75 MR1812435
7 S Garoufalidis, A Kricker, A rational noncommutative invariant of boundary links, Geom. Topol. 8 (2004) 115 MR2033481
8 S Garoufalidis, L Rozansky, The loop expansion of the Kontsevich integral, the null-move and S–equivalence, Topology 43 (2004) 1183 MR2080000
9 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
10 K Habiro, T Widmer, On Kirby calculus for null-homotopic framed links in 3–manifolds, Algebr. Geom. Topol. 14 (2014) 115 MR3158755
11 D M Jackson, I Moffatt, A Morales, On the group-like behavior of the Le–Murakami–Ohtsuki invariant, J. Knot Theory Ramifications 16 (2007) 699 MR2341311
12 A Kricker, The lines of the Kontsevich integral and Rozansky’s rationality conjecture, preprint (2000) arXiv:math/0005284
13 T T Q Le, H Murakami, J Murakami, T Ohtsuki, A three-manifold invariant via the Kontsevich integral, Osaka J. Math. 36 (1999) 365 MR1736483
14 T Q T Le, J Murakami, Representation of the category of tangles by Kontsevich’s iterated integral, Comm. Math. Phys. 168 (1995) 535 MR1328252
15 T Q T 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, Parallel version of the universal Vassiliev–Kontsevich invariant, J. Pure Appl. Algebra 121 (1997) 271 MR1477611
17 C Lescop, Splitting formulae for the Kontsevich–Kuperberg–Thurston invariant of rational homology 3–spheres, preprint (2004) arXiv:math/0411431
18 C Lescop, Invariants of knots and 3–manifolds derived from the equivariant linking pairing, from: "Chern–Simons gauge theory : 20 years after" (editors J E Andersen, H U Boden, A Hahn, B Himpel), AMS/IP Stud. Adv. Math. 50, Amer. Math. Soc. (2011) 217 MR2809454
19 C Lescop, A universal equivariant finite type knot invariant defined from configuration space integrals, preprint (2013) arXiv:1306.1705
20 G Massuyeau, Splitting formulas for the LMO invariant of rational homology three-spheres, Algebr. Geom. Topol. 14 (2014) 3553 MR3302971
21 D Moussard, Finite type invariants of rational homology 3–spheres, Algebr. Geom. Topol. 12 (2012) 2389 MR3020211
22 D Moussard, Rational Blanchfield forms, S-equivalence, and null LP-surgeries, Bull. Soc. Math. France 143 (2015) 403 MR3351186
23 D Moussard, Equivariant triple intersections, Ann. Fac. Sci. Toulouse Math. 26 (2017) 601 MR3669967
24 D Moussard, Finite type invariants of knots in homology 3–spheres with respect to null LP-surgeries, Geom. Topol. 23 (2019) 2005 MR3988091
25 T Ohtsuki, Finite type invariants of integral homology 3–spheres, J. Knot Theory Ramifications 5 (1996) 101 MR1373813