Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
On the surjectivity of the $\mathrm{tmf}$–Hurewicz image of $A_1$

Viet-Cuong Pham

Algebraic & Geometric Topology 23 (2023) 217–241
Bibliography
1 M Behrens, The construction of tmf, from: "Topological modular forms" (editors C L Douglas, J Francis, A G Henriques, M A Hill), Math. Surv. Monogr. 201, Amer. Math. Soc. (2014) 131
2 P Bhattacharya, P Egger, M Mahowald, On the periodic v2–self-map of A1, Algebr. Geom. Topol. 17 (2017) 657 MR3623667
3 I Bobkova, P G Goerss, Topological resolutions in K(2)–local homotopy theory at the prime 2, J. Topol. 11 (2018) 918 MR3989433
4 R Bruner, ext, software
5 D M Davis, M Mahowald, v1– and v2–periodicity in stable homotopy theory, Amer. J. Math. 103 (1981) 615 MR623131
6 D M Davis, M Mahowald, Ext over the subalgebra A2 of the Steenrod algebra for stunted projective spaces, from: "Current trends in algebraic topology, I" (editors R M Kane, S O Kochman, P S Selick, V P Snaith), CMS Conf. Proc. 2, Amer. Math. Soc. (1982) 297 MR686123
7 E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586
8 C L Douglas, J Francis, A G Henriques, M A Hill, editors, Topological modular forms, 201, Amer. Math. Soc. (2014) MR3223024
9 M J Hopkins, M Mahowald, From elliptic curves to homotopy theory, from: "Topological modular forms" (editors C L Douglas, J Francis, A G Henriques, M A Hill), Math. Surv. Monogr. 201, Amer. Math. Soc. (2014) 261 MR3328536
10 A Mathew, The homology of tmf, Homology Homotopy Appl. 18 (2016) 1 MR3515195
11 J Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958) 150 MR99653
12 V C Pham, On homotopy groups of EChG24 A1, Algebr. Geom. Topol. 22 (2022) 3855 MR4562560
13 D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042
14 M C Tangora, On the cohomology of the Steenrod algebra, Math. Z. 116 (1970) 18 MR266205