Homology, Homotopy and Applications

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

Po Hu and Igor Kriz

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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.

Article information

Source
Homology Homotopy Appl., Volume 6, Number 1 (2004), 137-152.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839548

Mathematical Reviews number (MathSciNet)
MR2061571

Zentralblatt MATH identifier
1066.55012

Subjects
Primary: 55Q45: Stable homotopy of spheres
Secondary: 55N22: Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] 55P91: Equivariant homotopy theory [See also 19L47] 55Q10: Stable homotopy groups 55T15: Adams spectral sequences 55T25: Generalized cohomology

Citation

Hu, Po; Kriz, Igor. Real cobordism and greek letter elements in the geometric chromatic spectral sequence. Homology Homotopy Appl. 6 (2004), no. 1, 137--152. https://projecteuclid.org/euclid.hha/1139839548


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