Volume 14, issue 2 (2014)

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

Volume 22, 1 issue

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The power operation structure on Morava $E\!$–theory of height $2$ at the prime $3$

Yifei Zhu

Algebraic & Geometric Topology 14 (2014) 953–977
Bibliography
1 M Ando, Isogenies of formal group laws and power operations in the cohomology theories $E^n$, Duke Math. J. 79 (1995) 423 MR1344767
2 M Ando, M J Hopkins, N P Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001) 595 MR1869850
3 M H Baker, E González-Jiménez, J González, B Poonen, Finiteness results for modular curves of genus at least $2$, Amer. J. Math. 127 (2005) 1325 MR2183527
4 J Borger, B Wieland, Plethystic algebra, Advances Math. 194 (2005) 246 MR2139914
5 R R Bruner, J P May, J E McClure, M Steinberger, $H_\infty $ ring spectra and their applications, Lecture Notes in Mathematics 1176, Springer (1986) MR836132
6 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs 47, Amer. Math. Soc. (1997) MR1417719
7 P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
8 M J Hopkins, $K(1)$–local $E_\infty $ ring spectra
9 M Hovey, $v_n$–elements in ring spectra and applications to bordism theory, Duke Math. J. 88 (1997) 327 MR1455523
10 D Husemöller, Elliptic curves, Graduate Texts in Mathematics 111, Springer (2004) MR2024529
11 N M Katz, B Mazur, Arithmetic moduli of elliptic curves, Annals of Mathematics Studies 108, Princeton Univ. Press (1985) MR772569
12 M Mahowald, C Rezk, Topological modular forms of level $3$, Pure Appl. Math. Q. 5 (2009) 853 MR2508904
13 A Mazel-Gee, E Peterson, N Stapleton, A relative Lubin–Tate theorem via meromorphic formal geometry arXiv:1308.5435
14 C Rezk, Lectures on power operations
15 C Rezk, Power operations for Morava ${E}$–theory of height $2$ at the prime $2$ arXiv:0812.1320
16 C Rezk, The congruence criterion for power operations in Morava $E$–theory, Homology, Homotopy Appl. 11 (2009) 327 MR2591924
17 J H Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics 106, Springer (2009) MR2514094
18 N E Steenrod, Cohomology operations, Annals of Mathematics Studies 50, Princeton Univ. Press (1962) MR0145525
19 N P Strickland, Morava $E$–theory of symmetric groups, Topology 37 (1998) 757 MR1607736
20 V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. (2003) 1 MR2031198