Algebraic & Geometric Topology Volume 18, issue 5 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

To Appear

Other MSP Journals

Encoding equivariant commutativity via operads

Javier J Gutiérrez and David White

Algebraic & Geometric Topology 18 (2018) 2919–2962

DOI: 10.2140/agt.2018.18.2919

Bibliography

1	M Ando, A J Blumberg, D Gepner, M J Hopkins, C Rezk, Units of ring spectra, orientations and Thom spectra via rigid infinite loop space theory, J. Topol. 7 (2014) 1077 MR3286898
2	M Batanin, D White, Bousfield localization and Eilenberg–Moore categories, preprint (2016) arXiv:1606.01537
3	C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
4	C Berger, I Moerdijk, On the derived category of an algebra over an operad, Georgian Math. J. 16 (2009) 13 MR2527612
5	A J Blumberg, M A Hill, Operadic multiplications in equivariant spectra, norms, and transfers, Adv. Math. 285 (2015) 658 MR3406512
6	P Bonventre, L A Pereira, Genuine equivariant operads, preprint (2017) arXiv:1707.02226
7	C Casacuberta, J J Gutiérrez, I Moerdijk, R M Vogt, Localization of algebras over coloured operads, Proc. Lond. Math. Soc. 101 (2010) 105 MR2661243
8	G Cortiñas, E Ellis, Isomorphism conjectures with proper coefficients, J. Pure Appl. Algebra 218 (2014) 1224 MR3168494
9	H Fausk, Equivariant homotopy theory for pro-spectra, Geom. Topol. 12 (2008) 103 MR2377247
10	B Fresse, Modules over operads and functors, 1967, Springer (2009) MR2494775
11	P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
12	J J Gutiérrez, Transfer of algebras over operads along Quillen adjunctions, J. Lond. Math. Soc. 86 (2012) 607 MR2980927
13	M A Hill, M J Hopkins, Equivariant symmetric monoidal structures, preprint (2016) arXiv:1610.03114
14	M A Hill, M J Hopkins, D C Ravenel, On the nonexistence of elements of Kervaire invariant one, Ann. of Math. 184 (2016) 1 MR3505179
15	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
16	M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
17	M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
18	M Hovey, D White, An alternative approach to equivariant stable homotopy theory, preprint (2013) arXiv:1312.3846
19	S Illman, The equivariant triangulation theorem for actions of compact Lie groups, Math. Ann. 262 (1983) 487 MR696520
20	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
21	W Lück, Survey on classifying spaces for families of subgroups, from: "Infinite groups: geometric, combinatorial and dynamical aspects" (editors L Bartholdi, T Ceccherini-Silberstein, T Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005) 269 MR2195456
22	W Lück, B Uribe, Equivariant principal bundles and their classifying spaces, Algebr. Geom. Topol. 14 (2014) 1925 MR3331607
23	M A Mandell, J P May, Equivariant orthogonal spectra and S–modules, 755, Amer. Math. Soc. (2002) MR1922205
24	M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
25	J P May, Definitions: operads, algebras and modules, from: "Operads: proceedings of renaissance conferences" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 1 MR1436912
26	J E McClure, E_∞–ring structures for Tate spectra, Proc. Amer. Math. Soc. 124 (1996) 1917 MR1307549
27	R J Piacenza, Homotopy theory of diagrams and CW–complexes over a category, Canad. J. Math. 43 (1991) 814 MR1127031
28	D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
29	C W Rezk, Spaces of algebra structures and cohomology of operads, PhD thesis, Massachusetts Institute of Technology (1996)
30	J Rubin, On the realization problem for N_∞ operads, preprint (2017) arXiv:1705.03585
31	P Salvatore, N Wahl, Framed discs operads and Batalin–Vilkovisky algebras, Q. J. Math. 54 (2003) 213 MR1989873
32	S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
33	M Spitzweck, Operads, algebras and modules in model categories and motives, PhD thesis, University of Bonn (2001)
34	M Stephan, On equivariant homotopy theory for model categories, Homology Homotopy Appl. 18 (2016) 183 MR3551501
35	D White, Monoidal Bousfield localizations and algebras over operads, preprint (2014) arXiv:1404.5197
36	D White, Model structures on commutative monoids in general model categories, J. Pure Appl. Algebra 221 (2017) 3124 MR3666740
37	D White, D Yau, Homotopical adjoint lifting theorem, preprint (2016) arXiv:1606.01803
38	D White, D Yau, Bousfield localization and algebras over colored operads, Appl. Categ. Structures 26 (2018) 153 MR3749666