Geometry & Topology Volume 24, issue 1 (2020)

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Coalgebraic formal curve spectra and spectral jet spaces

Eric Peterson

Geometry & Topology 24 (2020) 1–47

DOI: 10.2140/gt.2020.24.1

Bibliography

1	M F Atiyah, Thom complexes, Proc. London Math. Soc. 11 (1961) 291 MR0131880
2	T Barthel, A Beaudry, P G Goerss, V Stojanoska, Constructing the determinant sphere using a Tate twist, preprint (2018) arXiv:1810.06651
3	T Barthel, A Beaudry, E Peterson, H Sadofsky, The homology of inverse limits and the algebraic chromatic splitting conjecture, unpublished (2017)
4	M Behrens, A modular description of the K(2)–local sphere at the prime 3, Topology 45 (2006) 343 MR2193339
5	M Behrens, The homotopy groups of S_E(2) at p ≥ 5 revisited, Adv. Math. 230 (2012) 458 MR2914955
6	J M Boardman, Conditionally convergent spectral sequences, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 49 MR1718076
7	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
8	V Buchstaber, A Lazarev, Dieudonné modules and p–divisible groups associated with Morava K–theory of Eilenberg–Mac Lane spaces, Algebr. Geom. Topol. 7 (2007) 529 MR2308956
9	M Ching, Bar constructions for topological operads and the Goodwillie derivatives of the identity, Geom. Topol. 9 (2005) 833 MR2140994
10	M Demazure, Lectures on p–divisible groups, 302, Springer (1986) MR883960
11	E S Devinatz, Towards the finiteness of π_∗L_K(n)S⁰, Adv. Math. 219 (2008) 1656 MR2458150
12	E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586
13	V Ginzburg, M Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203 MR1301191
14	P G Goerss, Hopf rings, Dieudonné modules, and E_∗Ω²S³, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 115 MR1718079
15	P Goerss, H W Henn, M Mahowald, C Rezk, On Hopkins’ Picard groups for the prime 3 and chromatic level 2, J. Topol. 8 (2015) 267 MR3335255
16	R Haugseng, The higher Morita category of 𝔼_n–algebras, Geom. Topol. 21 (2017) 1631 MR3650080
17	S M H Hedayatzadeh, Exterior powers of π–divisible modules over fields, J. Number Theory 138 (2014) 119 MR3168925
18	S M H Hedayatzadeh, Exterior powers of Lubin–Tate groups, J. Théor. Nombres Bordeaux 27 (2015) 77 MR3346966
19	M J Hopkins, B H Gross, The rigid analytic period mapping, Lubin–Tate space, and stable homotopy theory, Bull. Amer. Math. Soc. 30 (1994) 76 MR1217353
20	M J Hopkins, J Lurie, Ambidexterity in K(n)–local stable homotopy theory, preprint (2013)
21	M J Hopkins, M Mahowald, H Sadofsky, Constructions of elements in Picard groups, from: "Topology and representation theory" (editors E M Friedlander, M E Mahowald), Contemp. Math. 158, Amer. Math. Soc. (1994) 89 MR1263713
22	M J Hopkins, J H Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. 148 (1998) 1 MR1652975
23	M Hovey, The generalized homology of products, Glasg. Math. J. 49 (2007) 1 MR2337861
24	M Hovey, N P Strickland, Morava K–theories and localisation, 666, Amer. Math. Soc. (1999) MR1601906
25	D C Johnson, W S Wilson, The Brown–Peterson homology of elementary p–groups, Amer. J. Math. 107 (1985) 427 MR784291
26	J Lurie, Higher algebra, book project (2017)
27	E Peterson, Report on E–theory conjectures seminar, seminar notes (2013)
28	D C Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984) 351 MR737778
29	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042
30	D C Ravenel, Nilpotence and periodicity in stable homotopy theory, 128, Princeton Univ. Press (1992) MR1192553
31	D C Ravenel, W S Wilson, The Morava K–theories of Eilenberg–Mac Lane spaces and the Conner–Floyd conjecture, Amer. J. Math. 102 (1980) 691 MR584466
32	H Sadofsky, The homology of inverse limits of spectra, preprint (2001)
33	H Sadofsky, Towards the chromatic splitting conjecture, preprint (2003)
34	V Snaith, Localized stable homotopy of some classifying spaces, Math. Proc. Cambridge Philos. Soc. 89 (1981) 325 MR600247
35	V Stojanoska, Duality for topological modular forms, Doc. Math. 17 (2012) 271 MR2946825
36	N P Strickland, A conjecture about the K(n)–local Picard group, unpublished
37	N P Strickland, On the p–adic interpolation of stable homotopy groups, from: "Adams Memorial Symposium on Algebraic Topology, II" (editors N Ray, G Walker), London Math. Soc. Lecture Note Ser. 176, Cambridge Univ. Press (1992) 45 MR1232198
38	N P Strickland, Formal schemes and formal groups, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 263 MR1718087
39	N P Strickland, Gross–Hopkins duality, Topology 39 (2000) 1021 MR1763961
40	D P Sullivan, Geometric topology : localization, periodicity and Galois symmetry, 8, Springer (2005) MR2162361
41	C Westerland, A higher chromatic analogue of the image of J, Geom. Topol. 21 (2017) 1033 MR3626597