Algebraic & Geometric Topology Volume 16, issue 3 (2016)

Download this article
	For screen
	For printing

Recent 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

Swiss-cheese action on the totalization of action-operads

Julien Ducoulombier

Algebraic & Geometric Topology 16 (2016) 1683–1726

DOI: 10.2140/agt.2016.16.1683

Bibliography

1	G Arone, V Turchin, On the rational homology of high-dimensional analogues of spaces of long knots, Geom. Topol. 18 (2014) 1261 MR3228453
2	C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
3	C Berger, I Moerdijk, The Boardman–Vogt resolution of operads in monoidal model categories, Topology 45 (2006) 807 MR2248514
4	C Berger, I Moerdijk, Resolution of coloured operads and rectification of homotopy algebras, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 31 MR2342815
5	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
6	E Dror, W G Dwyer, A long homology localization tower, Comment. Math. Helv. 52 (1977) 185 MR0458417
7	W Dwyer, K Hess, Long knots and maps between operads, Geom. Topol. 16 (2012) 919 MR2928985
8	W G Dwyer, J Spaliński, Homotopy theories and model categories, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 73 MR1361887
9	B Fresse, Modules over operads and functors, 1967, Springer (2009) MR2494775
10	J E Harper, Homotopy theory of modules over operads and non–Σ operads in monoidal model categories, J. Pure Appl. Algebra 214 (2010) 1407 MR2593672
11	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
12	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
13	E Hoefel, M Livernet, J Stasheff, A_∞–actions and recognition of relative loop spaces, preprint (2013) arXiv:1312.7155
14	M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
15	J E McClure, J H Smith, Operads and cosimplicial objects: an introduction, from: "Axiomatic, enriched and motivic homotopy theory" (editor J P C Greenlees), NATO Sci. Ser. II Math. Phys. Chem. 131, Kluwer (2004) 133 MR2061854
16	M Robertson, Spaces of operad structures, preprint (2011) arXiv:1111.3904
17	D P Sinha, Operads and knot spaces, J. Amer. Math. Soc. 19 (2006) 461 MR2188133
18	S Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc. 8 (1957) 604 MR0087106
19	V Turchin, Delooping totalization of a multiplicative operad, J. Homotopy Relat. Struct. 9 (2014) 349 MR3258687
20	R M Vogt, Cofibrant operads and universal E_∞ operads, Topology Appl. 133 (2003) 69 MR1996461
21	A A Voronov, The Swiss-cheese operad, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 365 MR1718089