Geometry & Topology Volume 24, issue 6 (2020)

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Eilenberg–Mac Lane spectra as equivariant Thom spectra

Jeremy Hahn and Dylan Wilson

Geometry & Topology 24 (2020) 2709–2748

DOI: 10.2140/gt.2020.24.2709

Bibliography

1	O Antolín-Camarena, T Barthel, A simple universal property of Thom ring spectra, J. Topol. 12 (2019) 56 MR3875978
2	M F Atiyah, G B Segal, Equivariant K–theory and completion, J. Differential Geom. 3 (1969) 1 MR259946
3	T Bachmann, M Hoyois, Norms in motivic homotopy theory, preprint (2017) arXiv:1711.03061
4	C Barwick, Spectral Mackey functors and equivariant algebraic K–theory, I, Adv. Math. 304 (2017) 646 MR3558219
5	C Barwick, E Dotto, S Glasman, D Nardin, J Shah, Parametrized higher category theory and higher algebra: a general introduction, preprint (2016) arXiv:1608.03654
6	M Behrens, D Wilson, A C₂–equivariant analog of Mahowald’s Thom spectrum theorem, Proc. Amer. Math. Soc. 146 (2018) 5003 MR3856165
7	P Bhattacharya, N Kitchloo, The p–local stable Adams conjecture and higher associative structures on Moore spectra, preprint (2018) arXiv:1803.11014
8	A J Blumberg, R L Cohen, C Schlichtkrull, Topological Hochschild homology of Thom spectra and the free loop space, Geom. Topol. 14 (2010) 1165 MR2651551
9	A J Blumberg, M A Hill, Operadic multiplications in equivariant spectra, norms, and transfers, Adv. Math. 285 (2015) 658 MR3406512
10	E H Brown Jr., S Gitler, A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra, Topology 12 (1973) 283 MR391071
11	E H Brown Jr., F P Peterson, On the stable decomposition of Ω²S^r+2, Trans. Amer. Math. Soc. 243 (1978) 287 MR500933
12	F R Cohen, J P May, L R Taylor, K(ℤ,0) and K(Z₂,0) as Thom spectra, Illinois J. Math. 25 (1981) 99 MR602900
13	R L Cohen, The geometry of Ω²S³ and braid orientations, Invent. Math. 54 (1979) 53 MR549545
14	S R Costenoble, S Waner, Fixed set systems of equivariant infinite loop spaces, Trans. Amer. Math. Soc. 326 (1991) 485 MR1012523
15	T tom Dieck, Orbittypen und äquivariante Homologie, II, Arch. Math. (Basel) 26 (1975) 650 MR436177
16	T tom Dieck, Transformation groups and representation theory, 766, Springer (1979) MR551743
17	W G Dwyer, H R Miller, C W Wilkerson, The homotopic uniqueness of BS³, from: "Algebraic topology" (editors J Aguadé, R Kane), Lecture Notes in Math. 1298, Springer (1987) 90 MR928825
18	B Guillou, J P May, Models of G–spectra as presheaves of spectra, preprint (2011) arXiv:1110.3571
19	H Hauschild, Äquivariante Konfigurationsräume und Abbildungsräume, from: "Topology Symposium" (editors U Koschorke, W D Neumann), Lecture Notes in Math. 788, Springer (1980) 281 MR585664
20	M A Hill, On the algebras over equivariant little disks, preprint (2017) arXiv:1709.02005
21	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
22	D J Hunter, N J Kuhn, Mahowaldean families of elements in stable homotopy groups revisited, Math. Proc. Cambridge Philos. Soc. 127 (1999) 237 MR1705457
23	I M James, On the suspension sequence, Ann. of Math. 65 (1957) 74 MR83124
24	M Karoubi, Algèbres de Clifford et K–théorie, Ann. Sci. École Norm. Sup. 1 (1968) 161 MR238927
25	M Karoubi, Sur la K–théorie équivariante, from: "Séminaire Heidelberg-Saarbrücken-Strasbourg sur la K–théorie" (editors A Dold, B Eckmann), Lecture Notes in Math. 136, Springer (1970) 187 MR0268253
26	M Karoubi, K–theory : an introduction, 226, Springer (1978) MR0488029
27	I Klang, The factorization theory of Thom spectra and twisted nonabelian Poincaré duality, Algebr. Geom. Topol. 18 (2018) 2541 MR3848394
28	W C Kronholm, The RO(G)–graded Serre spectral sequence, Homology Homotopy Appl. 12 (2010) 75 MR2607411
29	L G Lewis Jr., J P May, M Steinberger, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
30	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
31	M Mahowald, A new infinite family in ₂π_∗^s, Topology 16 (1977) 249 MR445498
32	M Mahowald, Ring spectra which are Thom complexes, Duke Math. J. 46 (1979) 549 MR544245
33	M Mahowald, D C Ravenel, P Shick, The Thomified Eilenberg–Moore spectral sequence, from: "Cohomological methods in homotopy theory" (editors J Aguadé, C Broto, C Casacuberta), Progr. Math. 196, Birkhäuser (2001) 249 MR1851257
34	A Mathew, N Naumann, J Noel, On a nilpotence conjecture of J P May, J. Topol. 8 (2015) 917 MR3431664
35	A Mathew, V Stojanoska, The Picard group of topological modular forms via descent theory, Geom. Topol. 20 (2016) 3133 MR3590352
36	J E McClure, On the groups JO_GX, I, Math. Z. 183 (1983) 229 MR704106
37	D Nardin, Parametrized higher category theory and higher algebra, IV : Stability with respect to an orbital ∞–category, preprint (2016) arXiv:1608.07704
38	S Priddy, K(ℤ∕2) as a Thom spectrum, Proc. Amer. Math. Soc. 70 (1978) 207 MR474271
39	C Rezk, The units of a ring spectrum and a logarithmic cohomology operation, J. Amer. Math. Soc. 19 (2006) 969 MR2219307
40	C Rourke, B Sanderson, Equivariant configuration spaces, J. Lond. Math. Soc. 62 (2000) 544 MR1783643
41	S Schwede, Global homotopy theory, 34, Cambridge Univ. Press (2018) MR3838307
42	G Segal, Equivariant K–theory, Inst. Hautes Études Sci. Publ. Math. 34 (1968) 129 MR234452
43	G B Segal, Equivariant stable homotopy theory, from: "Actes du Congrès International des Mathématiciens, II" (editors M Berger, J Dieudonné, J Leray, J L Lions, P Malliavin, J P Serre), Gauthier-Villars (1971) 59 MR0423340
44	K Shimakawa, Mackey systems of monoidal categories and G–spectra, K–Theory 5 (1992) 373 MR1162448
45	J Stasheff, On homotopy abelian H–spaces, Proc. Cambridge Philos. Soc. 57 (1961) 734 MR141123
46	S Waner, Equivariant classifying spaces and fibrations, Trans. Amer. Math. Soc. 258 (1980) 385 MR558180
47	S Waner, Classification of oriented equivariant spherical fibrations, Trans. Amer. Math. Soc. 271 (1982) 313 MR648095