## Homology, Homotopy and Applications

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

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

#### 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