Geometry & Topology Volume 18, issue 3 (2014)

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On the rational homology of high-dimensional analogues of spaces of long knots

Gregory Arone and Victor Turchin

Geometry & Topology 18 (2014) 1261–1322

DOI: 10.2140/gt.2014.18.1261

Bibliography

1	S T Ahearn, N J Kuhn, Product and other fine structure in polynomial resolutions of mapping spaces, Algebr. Geom. Topol. 2 (2002) 591 MR1917068
2	V I Arnold, The cohomology ring of the group of dyed braids, Mat. Zametki 5 (1969) 227 MR0242196
3	G Arone, A note on the homology of Σ_n, the Schwartz genus, and solving polynomial equations, from: "An alpine anthology of homotopy theory" (editors D Arlettaz, K Hess), Contemp. Math. 399, Amer. Math. Soc. (2006) 1 MR2222501
4	G Arone, Derivatives of embedding functors, I : The stable case, J. Topol. 2 (2009) 461 MR2546583
5	G Arone, P Lambrechts, I Volić, Calculus of functors, operad formality, and rational homology of embedding spaces, Acta Math. 199 (2007) 153 MR2358051
6	P Boavida de Brito, M S Weiss, Manifold calculus and homotopy sheaves, Homology Homotopy Appl. 15 (2013) 361 MR3138384
7	A S Cattaneo, P Cotta-Ramusino, R Longoni, Configuration spaces and Vassiliev classes in any dimension, Algebr. Geom. Topol. 2 (2002) 949 MR1936977
8	M Ching, Bar constructions for topological operads and the Goodwillie derivatives of the identity, Geom. Topol. 9 (2005) 833 MR2140994
9	F R Cohen, T J Lada, J P May, The homology of iterated loop spaces, 533, Springer (1976) MR0436146
10	F R Cohen, L R Taylor, On the representation theory associated to the cohomology of configuration spaces, from: "Algebraic topology" (editor M C Tangora), Contemp. Math. 146, Amer. Math. Soc. (1993) 91 MR1224909
11	D Dugger, D C Isaksen, Topological hypercovers and 𝔸¹–realizations, Math. Z. 246 (2004) 667 MR2045835
12	S Eilenberg, S Mac Lane, On the groups of H(Π,n), I, Ann. of Math. 58 (1953) 55 MR0056295
13	B Fresse, Koszul duality of operads and homology of partition posets, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 115 MR2066499
14	M W Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959) 242 MR0119214
15	M Kontsevich, Y Soibelman, Deformations of algebras over operads and the Deligne conjecture, from: "Conférence Moshé Flato 1999, Vol. I" (editors G Dito, D Sternheimer), Math. Phys. Stud. 21, Kluwer Acad. Publ. (2000) 255 MR1805894
16	P Lambrechts, V Turchin, I Volić, The rational homology of spaces of long knots in codimension greater than 2, Geom. Topol. 14 (2010) 2151 MR2740644
17	P Lambrechts, I Volić, Formality of the little N–disks operad, to appear in Mem. Amer. Math. Soc.
18	J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
19	T Pirashvili, Dold–Kan type theorem for Γ–groups, Math. Ann. 318 (2000) 277 MR1795563
20	D M Pryor, Topological manifold calculus, PhD thesis, University of Virginia (2012)
21	K Sakai, Configuration space integrals for embedding spaces and the Haefliger invariant, J. Knot Theory Ramifications 19 (2010) 1597 MR2755492
22	D P Sinha, The topology of spaces of knots: Cosimplicial models, Amer. J. Math. 131 (2009) 945 MR2543919
23	V Turchin, Hodge-type decomposition in the homology of long knots, J. Topol. 3 (2010) 487 MR2684511
24	V Turchin, Context-free manifold calculus and the Fulton–MacPherson operad, Algebr. Geom. Topol. 13 (2013) 1243 MR3071127
25	M S Weiss, Embeddings from the point of view of immersion theory, I, Geom. Topol. 3 (1999) 67 MR1694812
26	M S Weiss, Homology of spaces of smooth embeddings, Q. J. Math. 55 (2004) 499 MR2104688