Volume 13 (2008)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

Poisson structures on the homology of the space of knots

Keiichi Sakai

Geometry & Topology Monographs 13 (2008) 463–482

DOI: 10.2140/gtm.2008.13.463

Bibliography
1 A K Bousfield, On the homology spectral sequence of a cosimplicial space, Amer. J. Math. 109 (1987) 361–394 MR882428
2 R Budney, Little cubes and long knots, Topology 46 (2007) 1–27 MR2288724
3 R Budney, F Cohen, On the homology of the space of knots arXiv:math.GT/0504206
4 A S Cattaneo, P Cotta-Ramusino, R Longoni, Configuration spaces and Vassiliev classes in any dimension, Algebr. Geom. Topol. 2 (2002) 949–1000 MR1936977
5 F R Cohen, The homology of Cn+1–spaces, n>0, from: "The homology of iterated loop spaces", Lecture Notes in Math. 533, Springer (1976) 207–352 MR0436146
6 M Gerstenhaber, A A Voronov, Homotopy G-algebras and moduli space operad, Internat. Math. Res. Notices (1995) 141–153 MR1321701
7 T G Goodwillie, Calculus. II. Analytic functors, K-Theory 5 (1991/92) 295–332 MR1162445
8 T G Goodwillie, Calculus. III. Taylor series, Geom. Topol. 7 (2003) 645–711 MR2026544
9 T G Goodwillie, M Weiss, Embeddings from the point of view of immersion theory. II, Geom. Topol. 3 (1999) 103–118 MR1694808
10 M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35–72 MR1718044
11 P Lambrechts, V Turchin, I Volić, The rational homology of the space of long knots in codimension >2 arXiv:math.AT/0703649
12 P Lambrechts, I Volić, Formality of the little d-discs operad, in preparation
13 J E McClure, J H Smith, A solution of Deligne's Hochschild cohomology conjecture, from: "Recent progress in homotopy theory (Baltimore, MD, 2000)", Contemp. Math. 293, Amer. Math. Soc. (2002) 153–193 MR1890736
14 J E McClure, J H Smith, Cosimplicial objects and little n-cubes. I, Amer. J. Math. 126 (2004) 1109–1153 MR2089084
15 P Salvatore, Knots, operads, and double loop spaces, Int. Math. Res. Not. (2006) 22 MR2276349
16 D P Sinha, Operads and knot spaces, J. Amer. Math. Soc. 19 (2006) 461–486 MR2188133
17 V Tourtchine, On the homology of the spaces of long knots, from: "Advances in topological quantum field theory", NATO Sci. Ser. II Math. Phys. Chem. 179, Kluwer Acad. Publ. (2004) 23–52 MR2147415
18 V Tourtchine, On the other side of the bialgebra of chord diagrams, J. Knot Theory Ramifications 16 (2007) 575–629 MR2333307
19 M Weiss, Embeddings from the point of view of immersion theory. I, Geom. Topol. 3 (1999) 67–101 MR1694812