Geometry & Topology Volume 19, issue 5 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

The Adams–Novikov spectral sequence and Voevodsky's slice tower

Marc Levine

Geometry & Topology 19 (2015) 2691–2740

DOI: 10.2140/gt.2015.19.2691

Bibliography

1	J F Adams, Stable homotopy and generalised homology, University of Chicago Press (1974) MR0402720
2	J Ayoub, Note sur les opérations de Grothendieck et la réalisation de Betti, J. Inst. Math. Jussieu 9 (2010) 225 MR2602027
3	C Barwick, On left and right model categories and left and right Bousfield localizations, Homology, Homotopy Appl. 12 (2010) 245 MR2771591
4	A K Bousfield, Cosimplicial resolutions and homotopy spectral sequences in model categories, Geom. Topol. 7 (2003) 1001 MR2026537
5	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
6	P Deligne, Théorie de Hodge, II, Inst. Hautes Études Sci. Publ. Math. (1971) 5 MR0498551
7	D Dugger, D C Isaksen, Motivic cell structures, Algebr. Geom. Topol. 5 (2005) 615 MR2153114
8	J Heller, K Ormsby, Galois equivariance and stable motivic homotopy theory, arXiv:1401.4728
9	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
10	J Hornbostel, Localizations in motivic homotopy theory, Math. Proc. Cambridge Philos. Soc. 140 (2006) 95 MR2197578
11	M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
12	M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
13	M Hoyois, From algebraic cobordism to motivic cohomology, J. Reine Angew. Math. 702 (2015) 173
14	D C Isaksen, Etale realization on the 𝔸¹–homotopy theory of schemes, Adv. Math. 184 (2004) 37 MR2047848
15	J F Jardine, Simplicial presheaves, J. Pure Appl. Algebra 47 (1987) 35 MR906403
16	J F Jardine, Motivic symmetric spectra, Doc. Math. 5 (2000) 445 MR1787949
17	T Lawson, Notes on motivic homotopy theory, Lecture notes from a seminar given by Mike Hopkins at Harvard University (2004)
18	M Levine, The slice filtration and Grothendieck–Witt groups, Pure Appl. Math. Q. 7 (2011) 1543 MR2918174
19	M Levine, Convergence of Voevodsky’s slice tower, Doc. Math. 18 (2013) 907 MR3084567
20	M Levine, A comparison of motivic and classical stable homotopy theories, J. Topol. 7 (2014) 327 MR3217623
21	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 15, Abdus Salam Int. Cent. Theoret. Phys. (2004) 357 MR2175638
22	F Morel, The stable 𝔸¹–connectivity theorems, K–Th. 35 (2005) 1 MR2240215
23	N Naumann, M Spitzweck, P A Østvær, Motivic Landweber exactness, Doc. Math. 14 (2009) 551 MR2565902
24	I Panin, K Pimenov, O Röndigs, A universality theorem for Voevodsky’s algebraic cobordism spectrum, Homology, Homotopy Appl. 10 (2008) 211 MR2475610
25	I Panin, K Pimenov, O Röndigs, On Voevodsky’s algebraic K–theory spectrum, from: "Algebraic topology" (editors N A Baas, E M Friedlander, B Jahren, P A Østvær), Abel Symp. 4, Springer (2009) 279 MR2597741
26	P Pelaez, Multiplicative properties of the slice filtration, 335, Soc. Math. France (2011) MR2807904
27	P Pelaez, The unstable slice filtration, Trans. Amer. Math. Soc. 366 (2014) 5991
28	J Riou, Catégorie homotopique stable d’un site suspendu avec intervalle, Bull. Soc. Math. France 135 (2007) 495 MR2439197
29	D P Sinha, Operads and knot spaces, J. Amer. Math. Soc. 19 (2006) 461 MR2188133
30	D P Sinha, The topology of spaces of knots: Cosimplicial models, Amer. J. Math. 131 (2009) 945 MR2543919
31	M Spitzweck, Slices of motivic Landweber spectra, J. K–Theory 9 (2012) 103 MR2887201
32	G Vezzosi, Brown–Peterson spectra in stable 𝔸¹–homotopy theory, Rend. Sem. Mat. Univ. Padova 106 (2001) 47 MR1876212
33	V Voevodsky, A¹–homotopy theory, from: "Proceedings of the International Congress of Mathematicians, Vol. I", Geronimo (1998) 579 MR1648048
34	V Voevodsky, A possible new approach to the motivic spectral sequence for algebraic K–theory, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 371 MR1890744
35	V Voevodsky, Motivic Eilenberg–Maclane spaces, Publ. Math. Inst. Hautes Études Sci. (2010) 1 MR2737977
36	C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324