Homology, Homotopy and Applications

Volume 6 (2004)

Number 1

Real cobordism and greek letter elements in the geometric chromatic spectral sequence

Pages: 137 – 152

DOI: http://dx.doi.org/10.4310/HHA.2004.v6.n1.a9

Authors

Po Hu (Department of Mathematics, University of Chicago, Chicago, Illinois, U.S.A.)

Igor Kriz (Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.)

Abstract

In this paper, we give a basic application of our Adams-Novikov spectral sequence analogue based on Real cobordism. Concretely, using that technique, we prove restrictions on Greek letter elements which can be permanent cycles or targets of differentials in the geometric chromatic spectral sequence.

Keywords

homotopy theory, homotopy groups, Adams spectral sequence, generalized cohomology

2010 Mathematics Subject Classification

55Q10, 55Q45, 55T15, 55T25

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