The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …

We use the structure of the homotopy groups of the connective spectrum tmf of topological
modular forms and the elliptic and Adams-Novikov spectral sequences to compute the …

We determine the image of the 2–primary tmf Hurewicz homomorphism, where tmf is the
spectrum of topological modular forms. We do this by lifting elements of tmf⁡∗ to the …

The theory of topological modular forms is an intricate blend of classical algebraic modular
forms and stable homotopy groups of spheres. The construction of this theory combines an …

Group representations and the Adams spectral sequence Page 1 Pacific Journal of Mathematics
GROUP REPRESENTATIONS AND THE ADAMS SPECTRAL SEQUENCE R. JAMES …

In [2; 3; 4], Hopkins, Mahowald, and Miller constructed a new homology theory called tmf, or
topological modular forms (it was previously also called eo2). This theory stands at the end …

CUP-i PRODUCTS AND THE ADAMS SPECTRAL SEQUENCET$ Page 1 Topology Vol. 9, pp.
1-9 Pergamon Press. 19iO. Printed in Great Britain CUP-i PRODUCTS AND THE ADAMS …

'" j ',j ~ j Page 1 Progress in Mathematics, Vol. 196 © 2001 Birkhauser Verlag Basel/Switzerland
The Thomified Eilenberg-Moore spectral sequence Mark Mahowald, Douglas C. Ravenel and …

We extend the theory of Thom spectra and the associated obstruction theory for orientations
in order to support the construction of the string orientation of, the spectrum of topological …

We characterize the 2–line of the p–local Adams–Novikov spectral sequence in terms of
modular forms satisfying a certain explicit congruence condition for primes p≥ 5. We give a …