Geometry & Topology Volume 20, issue 3 (2016)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Cross-effects and the classification of Taylor towers

Gregory Arone and Michael Ching

Geometry & Topology 20 (2016) 1445–1537

DOI: 10.2140/gt.2016.20.1445

Bibliography

1	G Arone, M Ching, Operads and chain rules for the calculus of functors, 338, Société Mathématique de France (2011) MR2840569
2	G Arone, M Ching, A classification of Taylor towers of functors of spaces and spectra, Adv. Math. 272 (2015) 471 MR3303239
3	G Arone, M Kankaanrinta, The sphere operad, Bull. Lond. Math. Soc. 46 (2014) 126 MR3161768
4	D Ayala, J Francis, Factorization homology of topological manifolds, J. Topol. 8 (2015) 1045 MR3431668
5	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
6	M Ching, Bar constructions for topological operads and the Goodwillie derivatives of the identity, Geom. Topol. 9 (2005) 833 MR2140994
7	M Ching, A chain rule for Goodwillie derivatives of functors from spectra to spectra, Trans. Amer. Math. Soc. 362 (2010) 399 MR2550157
8	M Ching, Bar-cobar duality for operads in stable homotopy theory, J. Topol. 5 (2012) 39 MR2897049
9	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, Amer. Math. Soc. (1997) MR1417719
10	B Fresse, Koszul duality of E_n–operads, Selecta Math. 17 (2011) 363 MR2803847
11	E Getzler, J D S Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, arXiv:hep-th/9403055
12	T G Goodwillie, Calculus, II : Analytic functors, K–Theory 5 (1991/92) 295 MR1162445
13	T G Goodwillie, Calculus, III : Taylor series, Geom. Topol. 7 (2003) 645 MR2026544
14	J P C Greenlees, B Shipley, Homotopy theory of modules over diagrams of rings, Proc. Amer. Math. Soc. Ser. B 1 (2014) 89 MR3254575
15	R Helmstutler, Conjugate pairs of categories and Quillen equivalent stable model categories of functors, J. Pure Appl. Algebra 218 (2014) 1302 MR3168497
16	R McCarthy, On n–excisive functors of module categories, preprint (1999)
17	J E McClure, J H Smith, A solution of Deligne’s Hochschild cohomology conjecture, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 153 MR1890736
18	J E McClure, J H Smith, Cosimplicial objects and little n–cubes, I, Amer. J. Math. 126 (2004) 1109 MR2089084
19	T Pirashvili, Dold–Kan type theorem for Γ–groups, Math. Ann. 318 (2000) 277 MR1795563
20	C Rezk, S Schwede, B Shipley, Simplicial structures on model categories and functors, Amer. J. Math. 123 (2001) 551 MR1833153
21	D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074