Algebraic & Geometric Topology Volume 25, issue 6 (2025)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

The slices of quaternionic Eilenberg–Mac Lane spectra

Bertrand J Guillou and Carissa Slone

Algebraic & Geometric Topology 25 (2025) 3341–3384

DOI: 10.2140/agt.2025.25.3341

Bibliography

1	V Angeltveit, The slice spectral sequence for the cyclic group of order p, preprint (2021) arXiv:2111.06559
2	P Balmer, I Dell’Ambrogio, B Sanders, Grothendieck–Neeman duality and the Wirthmüller isomorphism, Compos. Math. 152 (2016) 1740 MR3542492
3	S Basu, S Ghosh, Non-trivial extensions in equivariant cohomology with constant coefficients, preprint (2021) arXiv:2108.12763
4	S Bouc, R Stancu, P Webb, On the projective dimensions of Mackey functors, Algebr. Represent. Theory 20 (2017) 1467 MR3735915
5	K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
6	D Dugger, An Atiyah–Hirzebruch spectral sequence for KR-theory, K-Theory 35 (2005) 213 MR2240234
7	B Guillou, C Yarnall, The Klein four slices of ΣⁿH𝔽₂, Math. Z. 295 (2020) 1405 MR4125695
8	M A Hill, The equivariant slice filtration: a primer, Homology Homotopy Appl. 14 (2012) 143 MR3007090
9	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
10	M A Hill, M J Hopkins, D C Ravenel, The slice spectral sequence for certain RO(C_pⁿ)-graded suspensions of Hℤ, Bol. Soc. Mat. Mex. 23 (2017) 289 MR3633137
11	M A Hill, M J Hopkins, D C Ravenel, The slice spectral sequence for the C₄ analog of real K-theory, Forum Math. 29 (2017) 383 MR3619120
12	M A Hill, X D Shi, G Wang, Z Xu, The slice spectral sequence of a C₄-equivariant height-4 Lubin–Tate theory, 1429, Amer. Math. Soc. (2023) MR4627086
13	M A Hill, C Yarnall, A new formulation of the equivariant slice filtration with applications to C_p-slices, Proc. Amer. Math. Soc. 146 (2018) 3605 MR3803684
14	P Hu, I Kriz, The homology of BPO, from: "Recent progress in homotopy theory", Contemp. Math. 293, Amer. Math. Soc. (2002) 111 MR1887531
15	S Kriz, Notes on equivariant homology with constant coefficients, Pacific J. Math. 309 (2020) 381 MR4202017
16	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
17	Y Lu, On the RO(G)-graded coefficients of Q₈ equivariant cohomology, Topology Appl. 307 (2022) 107921 MR4356687
18	L Meier, X D Shi, M Zeng, The localized slice spectral sequence, norms of real bordism, and the Segal conjecture, Adv. Math. 412 (2023) 108804 MR4517348
19	C Slone, Klein four 2-slices and the slices of Σ^±nHℤ, Math. Z. 301 (2022) 3895 MR4449734
20	Y J F Sulyma, Equivariant aspects of topological Hochschild homology, PhD thesis, University of Texas at Austin (2019) MR4197745
21	J Thévenaz, P Webb, The structure of Mackey functors, Trans. Amer. Math. Soc. 347 (1995) 1865 MR1261590
22	J Ullman, On the slice spectral sequence, Algebr. Geom. Topol. 13 (2013) 1743 MR3071141
23	S Waner, Periodicity in the cohomology of universal G-spaces, Illinois J. Math. 30 (1986) 468 MR850344
24	C M Yarnall, The slices of Sⁿ ∧ Hℤ for cyclic p-groups, PhD thesis, University of Virginia (2013) MR3187569
25	C Yarnall, The slices of Sⁿ ∧ Hℤ for cyclic p-groups, Homology Homotopy Appl. 19 (2017) 1 MR3628673
26	M Zeng, Equivariant Eilenberg–Mac Lane spectra in cyclic p-groups, preprint (2017) arXiv:1710.01769
27	Y Zou, RO(D_2p)-graded slice spectral sequence for Hℤ, PhD thesis, University of Rochester (2018)