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 v1–periodic
elements at the prime 2.
Keywords
root invariants, Greek letter elements,
vn–periodicity