Algebraic & Geometric Topology Volume 26, issue 1 (2026)

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The K-theory cochains of H-spaces and height-$1$ chromatic homotopy theory

Sven van Nigtevecht

Appendix: Sven van Nigtevecht and Max Blans

Algebraic & Geometric Topology 26 (2026) 29–63

DOI: 10.2140/agt.2026.26.29

Bibliography

1	A Baker, L-complete Hopf algebroids and their comodules, from: "Alpine perspectives on algebraic topology" (editors C Ausoni, K Hess, J Scherer), Contemp. Math. 504, Amer. Math. Soc. (2009) 1 MR2581903
2	T Barthel, A short introduction to the telescope and chromatic splitting conjectures, from: "Bousfield classes and Ohkawa’s theorem" (editors T Ohsawa, N Minami), Springer Proc. Math. Stat. 309, Springer (2020) 261 MR4100659
3	T Barthel, M Frankland, Completed power operations for Morava E-theory, Algebr. Geom. Topol. 15 (2015) 2065 MR3402336
4	T Barthel, D Heard, The E₂-term of the K(n)-local E_n-Adams spectral sequence, Topology Appl. 206 (2016) 190 MR3494442
5	M Behrens, C Rezk, The Bousfield–Kuhn functor and topological André-Quillen cohomology, Invent. Math. 220 (2020) 949 MR4094969
6	M Behrens, C Rezk, Spectral algebra models of unstable v_n-periodic homotopy theory, from: "Bousfield classes and Ohkawa’s theorem" (editors T Ohsawa, N Minami), Springer Proc. Math. Stat. 309, Springer (2020) 275 MR4100660
7	M Blans, Torsion in v₁-periodic homotopy theory, Master’s thesis (2021)
8	A K Bousfield, On the homotopy theory of K-local spectra at an odd prime, Amer. J. Math. 107 (1985) 895 MR796907
9	A K Bousfield, On λ-rings and the K-theory of infinite loop spaces, K-Theory 10 (1996) 1 MR1373816
10	A K Bousfield, On p-adic λ-rings and the K-theory of H-spaces, Math. Z. 223 (1996) 483 MR1417857
11	A K Bousfield, The K-theory localizations and v₁-periodic homotopy groups of H-spaces, Topology 38 (1999) 1239 MR1690156
12	R R Bruner, J P May, J E McClure, M Steinberger, H_∞ ring spectra and their applications, 1176, Springer (1986) MR836132
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	D Gaitsgory, J Lurie, Weil’s conjecture for function fields, I, 199, Princeton Univ. Press (2019) MR3887650
15	P Goerss, M Hopkins, Moduli problems for structured ring spectra, (2005)
16	G Heuts, Lie algebra models for unstable homotopy theory, from: "Handbook of homotopy theory" (editor H Miller), CRC Press (2020) 657 MR4197996
17	G Heuts, Lie algebras and v_n-periodic spaces, Ann. of Math. (2) 193 (2021) 223 MR4199731
18	P J Higgins, Coproducts of topological abelian groups, J. Algebra 44 (1977) 152 MR457615
19	M Hovey, Morava E-theory of filtered colimits, Trans. Amer. Math. Soc. 360 (2008) 369 MR2342007
20	M Hovey, N P Strickland, Morava K-theories and localisation, 666, Amer. Math. Soc. (1999) MR1601906
21	J J Kjaer, Unstable ν₁-periodic homotopy of simply connected, finite H-spaces, using Goodwillie calculus, preprint (2019) arXiv:1905.05269
22	N J Kuhn, A guide to telescopic functors, Homology Homotopy Appl. 10 (2008) 291 MR2475626
23	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
24	J Lurie, Higher algebra, preprint (2017)
25	F Marty, Des ouverts Zariski et des morphismes lisses en géométrie relative, PhD thesis, Université Toulouse (2009)
26	D Quillen, Rational homotopy theory, Ann. of Math. (2) 90 (1969) 205 MR258031
27	D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977) 269 MR646078