#### Volume 10 (2007)

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Some root invariants at the prime 2

### Mark Behrens

Geometry & Topology Monographs 10 (2007) 1–40
DOI: 10.2140/gtm.2007.10.1
 arXiv: math/0507183
##### Abstract

The first part of this paper consists of lecture notes which summarize the machinery of filtered root invariants. A conceptual notion of “homotopy Greek letter element” is also introduced, and evidence is presented that it may be related to the root invariant. In the second part we compute some low dimensional root invariants of ${v}_{1}$–periodic elements at the prime $2$.

##### Keywords
root invariants, Greek letter elements, $v_n$–periodicity
##### Mathematical Subject Classification 2000
Primary: 55Q45
Secondary: 55Q51, 55T15