Geometry & Topology Volume 27, issue 5 (2023)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Cellular objects in isotropic motivic categories

Fabio Tanania

Geometry & Topology 27 (2023) 2013–2048

DOI: 10.2140/gt.2023.27.2013

Bibliography

1	T Bachmann, H J Kong, G Wang, Z Xu, The Chow t–structure on the ∞–category of motivic spectra, Ann. of Math. 195 (2022) 707 MR4387236
2	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
3	D Dugger, D C Isaksen, Motivic cell structures, Algebr. Geom. Topol. 5 (2005) 615 MR2153114
4	D Dugger, D C Isaksen, The motivic Adams spectral sequence, Geom. Topol. 14 (2010) 967 MR2629898
5	B Gheorghe, The motivic cofiber of τ, Doc. Math. 23 (2018) 1077 MR3874951
6	B Gheorghe, G Wang, Z Xu, The special fiber of the motivic deformation of the stable homotopy category is algebraic, Acta Math. 226 (2021) 319 MR4281382
7	M Hovey, Homotopy theory of comodules over a Hopf algebroid, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 261 MR2066503
8	M Hoyois, From algebraic cobordism to motivic cohomology, J. Reine Angew. Math. 702 (2015) 173 MR3341470
9	D C Isaksen, Stable stems, 1269, Amer. Math. Soc. (2019) MR4046815
10	P S Landweber, Associated prime ideals and Hopf algebras, J. Pure Appl. Algebra 3 (1973) 43 MR345950
11	T Lawson, Secondary power operations and the Brown–Peterson spectrum at the prime 2, Ann. of Math. 188 (2018) 513 MR3862946
12	M Levine, Aspects of enumerative geometry with quadratic forms, Doc. Math. 25 (2020) 2179 MR4198841
13	J Lurie, Higher algebra, preprint (2017)
14	L Mantovani, Localizations and completions in motivic homotopy theory, preprint (2018) arXiv:1810.04134
15	F Morel, On the motivic π₀ of the sphere spectrum, from: "Axiomatic, enriched and motivic homotopy theory" (editor J P C Greenlees), NATO Sci. Ser. II Math. Phys. Chem. 131, Kluwer (2004) 219 MR2061856
16	F Morel, V Voevodsky, 𝔸¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
17	N Naumann, M Spitzweck, P A Østvær, Motivic Landweber exactness, Doc. Math. 14 (2009) 551 MR2565902
18	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042
19	F Tanania, Isotropic stable motivic homotopy groups of spheres, Adv. Math. 383 (2021) 107696 MR4233280
20	G Vezzosi, Brown–Peterson spectra in stable 𝔸¹–homotopy theory, Rend. Sem. Mat. Univ. Padova 106 (2001) 47 MR1876212
21	A Vishik, Isotropic motives, J. Inst. Math. Jussieu 21 (2022) 1271 MR4454343
22	V Voevodsky, 𝔸^⊮–homotopy theory, from: "Proceedings of the International Congress of Mathematicians, I" (editors G Fischer, U Rehmann), Deutsche Mathematiker Vereinigung (1998) 579 MR1648048
23	V Voevodsky, Triangulated categories of motives over a field, from: "Cycles, transfers, and motivic homology theories" (editors J N Mather, E M Stein), Ann. of Math. Stud. 143, Princeton Univ. Press (2000) 188 MR1764202
24	V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. 98 (2003) 1 MR2031198