Algebraic & Geometric Topology Volume 20, issue 2 (2020)

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

On the Brun spectral sequence for topological Hochschild homology

Eva Höning

Algebraic & Geometric Topology 20 (2020) 817–863

DOI: 10.2140/agt.2020.20.817

Bibliography

1	V Angeltveit, J Rognes, Hopf algebra structure on topological Hochschild homology, Algebr. Geom. Topol. 5 (2005) 1223 MR2171809
2	C Ausoni, Topological Hochschild homology of connective complex K–theory, Amer. J. Math. 127 (2005) 1261 MR2183525
3	C Ausoni, On the algebraic K–theory of the complex K–theory spectrum, Invent. Math. 180 (2010) 611 MR2609252
4	A Baker, A Lazarev, On the Adams spectral sequence for R–modules, Algebr. Geom. Topol. 1 (2001) 173 MR1823498
5	A Baker, B Richter, Uniqueness of E_∞ structures for connective covers, Proc. Amer. Math. Soc. 136 (2008) 707 MR2358512
6	P Balmer, The spectrum of prime ideals in tensor triangulated categories, J. Reine Angew. Math. 588 (2005) 149 MR2196732
7	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
8	M Bökstedt, The topological Hochschild homology of ℤ and ℤ∕p, unpublished manuscript (1987)
9	M Brun, Topological Hochschild homology of ℤ∕pⁿ, J. Pure Appl. Algebra 148 (2000) 29 MR1750729
10	T tom Dieck, Algebraic topology, Eur. Math. Soc. (2008) MR2456045
11	D Dugger, Multiplicative structures on homotopy spectral sequences, I, preprint (2003) arXiv:math/0305173
12	B I Dundas, T G Goodwillie, R McCarthy, The local structure of algebraic K–theory, 18, Springer (2013) MR3013261
13	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
14	L Hesselholt, I Madsen, On the K–theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997) 29 MR1410465
15	L Hesselholt, I Madsen, On the K–theory of local fields, Ann. of Math. 158 (2003) 1 MR1998478
16	E Höning, The topological Hochschild homology of algebraic K–theory of finite fields, preprint (2019) arXiv:1906.03057
17	L G Lewis Jr., M A Mandell, Equivariant universal coefficient and Künneth spectral sequences, Proc. London Math. Soc. 92 (2006) 505 MR2205726
18	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
19	J P May, E_∞ ring spaces and E_∞ ring spectra, 577, Springer (1977) 268 MR0494077
20	J P May, Multiplicative infinite loop space theory, J. Pure Appl. Algebra 26 (1982) 1 MR669843
21	J P May, The construction of E_∞ ring spaces from bipermutative categories, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ. (2009) 283 MR2544392
22	J P May, What precisely are E_∞ ring spaces and E_∞ ring spectra ?, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ. (2009) 215 MR2544391
23	J E McClure, R E Staffeldt, On the topological Hochschild homology of bu, I, Amer. J. Math. 115 (1993) 1 MR1209233
24	T Nikolaus, P Scholze, On topological cyclic homology, Acta Math. 221 (2018) 203 MR3904731
25	S Oka, Ring spectra with few cells, Japan. J. Math. 5 (1979) 81 MR614695
26	S Oka, Multiplications on the Moore spectrum, Mem. Fac. Sci. Kyushu Univ. Ser. A 38 (1984) 257 MR760188
27	S Oka, Multiplicative structure of finite ring spectra and stable homotopy of spheres, from: "Algebraic topology, Aarhus 1982" (editors I Madsen, B Oliver), Lecture Notes in Math. 1051, Springer (1984) 418 MR764594
28	D Quillen, On the cohomology and K–theory of the general linear groups over a finite field, Ann. of Math. 96 (1972) 552 MR315016
29	J Rognes, S Sagave, C Schlichtkrull, Localization sequences for logarithmic topological Hochschild homology, Math. Ann. 363 (2015) 1349 MR3412362
30	J Rognes, S Sagave, C Schlichtkrull, Logarithmic topological Hochschild homology of topological K–theory spectra, J. Eur. Math. Soc. 20 (2018) 489 MR3760301
31	Y B Rudyak, On Thom spectra, orientability, and cobordism, Springer (1998) MR1627486
32	S Sagave, Logarithmic structures on topological K–theory spectra, Geom. Topol. 18 (2014) 447 MR3159166
33	R M Switzer, Algebraic topology: homotopy and homology, 212, Springer (1975) MR0385836
34	G W Whitehead, Elements of homotopy theory, 61, Springer (1978) MR516508