Algebraic & Geometric Topology Volume 17, issue 2 (2017)

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Two-complete stable motivic stems over finite fields

Glen Matthew Wilson and Paul Arne Østvær

Algebraic & Geometric Topology 17 (2017) 1059–1104

DOI: 10.2140/agt.2017.17.1059

Bibliography

1	J F Adams, A finiteness theorem in homological algebra, Proc. Cambridge Philos. Soc. 57 (1961) 31 MR0122852
2	J F Adams, Stable homotopy and generalised homology, University of Chicago Press (1974) MR0402720
3	A Ananyevskiy, M Levine, I Panin, Witt sheaves and the η–inverted sphere spectrum, preprint (2015) arXiv:1504.04860
4	J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, I, 314, Société Mathématique de France (2007) MR2423375
5	B A Blander, Local projective model structures on simplicial presheaves, K–Theory 24 (2001) 283 MR1876801
6	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
7	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
8	R R Bruner, Ext in the nineties, from: "Algebraic topology" (editor M C Tangora), Contemp. Math. 146, Amer. Math. Soc. (1993) 71 MR1224908
9	R R Bruner, An Adams spectral sequence primer, notes (2009)
10	R R Bruner, The cohomology of the mod 2 Steenrod algebra, unpublished manuscript (2016)
11	D Dugger, D C Isaksen, Motivic cell structures, Algebr. Geom. Topol. 5 (2005) 615 MR2153114
12	D Dugger, D C Isaksen, The motivic Adams spectral sequence, Geom. Topol. 14 (2010) 967 MR2629898
13	D Dugger, D Isaksen, Low-dimensional Milnor–Witt stems over ℝ, Ann. K-Theory 2 (2017) 175 MR3590344
14	B I Dundas, M Levine, P A Østvær, O Röndigs, V Voevodsky, Motivic homotopy theory, Springer (2007) MR2334212
15	B I Dundas, O Röndigs, P A Østvær, Motivic functors, Doc. Math. 8 (2003) 489 MR2029171
16	K Fu, G M Wilson, Motivic Adams spectral sequence program, Python code (2015)
17	T Geisser, Motivic cohomology over Dedekind rings, Math. Z. 248 (2004) 773 MR2103541
18	M A Hill, Ext and the motivic Steenrod algebra over ℝ, J. Pure Appl. Algebra 215 (2011) 715 MR2747214
19	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
20	M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
21	M Hoyois, From algebraic cobordism to motivic cohomology, J. Reine Angew. Math. 702 (2015) 173 MR3341470
22	M Hoyois, S Kelly, P A Østvær, The motivic Steenrod algebra in positive characteristic, preprint (2013) arXiv:1305.5690
23	P Hu, S–modules in the category of schemes, 767, Amer. Math. Soc. (2003) MR1950209
24	P Hu, I Kriz, K Ormsby, Remarks on motivic homotopy theory over algebraically closed fields, J. K-Theory 7 (2011) 55 MR2774158
25	D C Isaksen, Classical and motivic Adams charts, preprint (2014) arXiv:1401.4983
26	D C Isaksen, Stable stems, preprint (2014) arXiv:1407.8418
27	J F Jardine, Motivic symmetric spectra, Doc. Math. 5 (2000) 445 MR1787949
28	S O Kochman, Stable homotopy groups of spheres: a computer-assisted approach, 1423, Springer (1990) MR1052407
29	M Levine, A comparison of motivic and classical stable homotopy theories, J. Topol. 7 (2014) 327 MR3217623
30	J McCleary, A user’s guide to spectral sequences, 58, Cambridge University Press (2001) MR1793722
31	J Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958) 150 MR0099653
32	F Morel, An introduction to 𝔸¹–homotopy theory, from: "Contemporary developments in algebraic K–theory" (editors M Karoubi, A O Kuku, C Pedrini), ICTP Lect. Notes XV, Abdus Salam Int. Cent. Theoret. Phys. (2004) 357 MR2175638
33	F Morel, The stable 𝔸¹–connectivity theorems, K–Theory 35 (2005) 1 MR2240215
34	F Morel, 𝔸¹–algebraic topology over a field, 2052, Springer (2012) MR2934577
35	F Morel, V Voevodsky, A¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
36	R M F Moss, Secondary compositions and the Adams spectral sequence, Math. Z. 115 (1970) 283 MR0266216
37	K M Ormsby, Motivic invariants of p–adic fields, J. K-Theory 7 (2011) 597 MR2811717
38	K M Ormsby, P A Østvær, Motivic Brown–Peterson invariants of the rationals, Geom. Topol. 17 (2013) 1671 MR3073932
39	K M Ormsby, P A Østvær, Stable motivic π₁ of low-dimensional fields, Adv. Math. 265 (2014) 97 MR3255457
40	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic Press, Orlando, FL (1986) MR860042
41	O Röndigs, M Spitzweck, P A Østvær, The first stable homotopy groups of motivic spheres, preprint (2016) arXiv:1604.00365
42	W Scharlau, Quadratic and Hermitian forms, 270, Springer (1985) MR770063
43	J P Serre, Local fields, 67, Springer (1979) MR554237
44	C Soulé, K–théorie des anneaux d’entiers de corps de nombres et cohomologie étale, Invent. Math. 55 (1979) 251 MR553999
45	M Spitzweck, A commutative ℙ¹–spectrum representing motivic cohomology over Dedekind domains v3, preprint (2013) arXiv:1207.4078v3
46	R M Switzer, Algebraic topology—homotopy and homology, 212, Springer (1975) MR0385836
47	V Voevodsky, A¹–homotopy theory, from: "Proceedings of the International Congress of Mathematicians, I", Documenta Mathematica (1998) 579 MR1648048
48	V Voevodsky, Motivic cohomology with Z∕2–coefficients, Publ. Math. Inst. Hautes Études Sci. 98 (2003) 59 MR2031199
49	V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. 98 (2003) 1 MR2031198
50	V Voevodsky, Motivic Eilenberg–Maclane spaces, Publ. Math. Inst. Hautes Études Sci. 112 (2010) 1 MR2737977
51	G Wang, Z Xu, The algebraic Atiyah–Hirzebruch spectral sequence of real projective spectra, preprint (2016) arXiv:1601.02185
52	G M Wilson, Motivic stable stems over finite fields, PhD thesis, Rutgers University–New Brunswick (2016) MR3597836