Geometry & Topology Volume 17, issue 3 (2013)

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): 1364-0380

ISSN (print): 1465-3060

Author index

To appear

Other MSP journals

Motivic Brown–Peterson invariants of the rationals

Kyle M Ormsby and Paul Arne Østvær

Geometry & Topology 17 (2013) 1671–1706

DOI: 10.2140/gt.2013.17.1671

Bibliography

1	S Borghesi, Algebraic Morava K–theories, Invent. Math. 151 (2003) 381 MR1953263
2	D Dugger, D C Isaksen, The motivic Adams spectral sequence, Geom. Topol. 14 (2010) 967 MR2629898
3	M A Hill, Ext and the motivic Steenrod algebra over ℝ, J. Pure Appl. Algebra 215 (2011) 715 MR2747214
4	M Hoyois, From algebraic cobordism to motivic cohomology arXiv:1210.7182
5	M Hoyois, S Kelly, P A Østvær, The motivic Steenrod algebra in positive characteristic (2012) arXiv:1305.5690
6	P Hu, On real-oriented Johnson–Wilson cohomology, Algebr. Geom. Topol. 2 (2002) 937 MR1936976
7	P Hu, I Kriz, Some remarks on real and algebraic cobordism, K–Theory 22 (2001) 335 MR1847399
8	P Hu, I Kriz, K Ormsby, Convergence of the motivic Adams spectral sequence, J. K–Theory 7 (2011) 573 MR2811716
9	P Hu, I Kriz, K Ormsby, Remarks on motivic homotopy theory over algebraically closed fields, J. K-Theory 7 (2011) 55 MR2774158
10	J Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958) 150 MR0099653
11	J Milnor, Algebraic K–theory and quadratic forms, Invent. Math. 9 (1969/1970) 318 MR0260844
12	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
13	F Morel, The stable 𝔸¹–connectivity theorems, K–Theory 35 (2005) MR2240215
14	F Morel, V Voevodsky, A¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. (1999) 45 MR1813224
15	N Naumann, M Spitzweck, P A Østvær, Existence and uniqueness of E_∞–structures on motivic K-theory spectra arXiv:1010.3944
16	N Naumann, M Spitzweck, P A Østvær, Chern classes, K–theory and Landweber exactness over nonregular base schemes, from: "Motives and algebraic cycles" (editors R de Jeu, J D Lewis), Fields Inst. Commun. 56, Amer. Math. Soc. (2009) 307 MR2562464
17	N Naumann, M Spitzweck, P A Østvær, Motivic Landweber exactness, Doc. Math. 14 (2009) 551 MR2565902
18	J Neukirch, A Schmidt, K Wingberg, Cohomology of number fields, 323, Springer (2008) MR2392026
19	K M Ormsby, Motivic invariants of p–adic fields, J. K–Theory 7 (2011) 597 MR2811717
20	K Ormsby, P A Østvær, Motivic invariants of low-dimensional fields, in preparation
21	D Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969) 1293 MR0253350
22	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic Press (1986) MR860042
23	J Rognes, C Weibel, Two-primary algebraic K–theory of rings of integers in number fields, J. Amer. Math. Soc. 13 (2000) 1 MR1697095
24	O Röndigs, P A Østvær, Motives and modules over motivic cohomology, C. R. Math. Acad. Sci. Paris 342 (2006) 751 MR2227753
25	O Röndigs, P A Østvær, Modules over motivic cohomology, Adv. Math. 219 (2008) 689 MR2435654
26	M Spitzweck, Relations between slices and quotients of the algebraic cobordism spectrum, Homology, Homotopy Appl. 12 (2010) 335 MR2771593
27	A A Suslin, On the K–theory of local fields, from: "Proceedings of the Luminy conference on algebraic, K–theory (1983)" (editors E M Friedlander, M Karoubi), J. Pure Appl. Algebra 34 (1984) 301 MR772065
28	G Vezzosi, Brown–Peterson spectra in stable 𝔸¹–homotopy theory, Rend. Sem. Mat. Univ. Padova 106 (2001) 47 MR1876212
29	V Voevodsky, A¹–homotopy theory, from: "Proceedings of the International Congress of Mathematicians, Vol. I", Doc. Math. Extra Vol. I (1998) 579 MR1648048
30	V Voevodsky, Motivic cohomology with Z∕2–coefficients, Publ. Math. Inst. Hautes Études Sci. (2003) 59 MR2031199
31	V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. (2003) 1 MR2031198
32	V Voevodsky, Motivic Eilenberg–Maclane spaces, Publ. Math. Inst. Hautes Études Sci. (2010) 1 MR2737977
33	N Yagita, Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism, Proc. London Math. Soc. 90 (2005) 783 MR2137831