Volume 13 (2008)

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Computation of the homotopy of the spectrum tmf

Tilman Bauer

Geometry & Topology Monographs 13 (2008) 11–40

DOI: 10.2140/gtm.2008.13.11

Bibliography
1 J Franke, On the construction of elliptic cohomology, Math. Nachr. 158 (1992) 43–65 MR1235295
2 M J Hopkins, Topological modular forms, the Witten genus, and the theorem of the cube, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 554–565 MR1403956
3 M Hopkins, M Mahowald, From elliptic curves to homotopy theory, preprint available on the Hopf archive (1998)
4 M J Hopkins, H R Miller, Elliptic curves and stable homotopy I, Draft (1999)
5 M Hovey, Morita theory for Hopf algebroids and presheaves of groupoids, Amer. J. Math. 124 (2002) 1289–1318 MR1939787
6 M Hovey, H Sadofsky, Invertible spectra in the E(n)–local stable homotopy category, J. London Math. Soc. (2) 60 (1999) 284–302 MR1722151
7 S O Kochman, Stable homotopy groups of spheres, a computer-assisted approach, Lecture Notes in Mathematics 1423, Springer (1990) MR1052407
8 P S Landweber, \rm Editor, Elliptic curves and modular forms in algebraic topology (Princeton 1986), Lecture Notes in Mathematics 1326, Springer (1988) MR970278
9 P S Landweber, D C Ravenel, R E Stong, Periodic cohomology theories defined by elliptic curves, from: "The \vCech centennial (Boston, 1993)", Contemp. Math. 181, Amer. Math. Soc. (1995) 317–337 MR1320998
10 D C Ravenel, Complex cobordism and stable homotopy groups of spheres, Pure and Applied Mathematics 121, Academic Press (1986) MR860042
11 C Rezk, Supplementary notes for math 512 (v. 0.17) (2002)
12 J H Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics 106, Springer (1986) MR817210
13 H Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies 49, Princeton University Press (1962) MR0143217