Dyer-Lashof-Araki-Kudo operations

These are operations on the mod-$ p$ homology of infinite loop spaces. They measure the failure of the Pontrjagin product to be commutative at the chain-level and are analogous to the Steenrod squares. The operations are linear maps of the form

$\displaystyle \beta^\epsilon Q^r: H_n(X;\mathbb{F}_p) \to H_{n + 2r(p-1)

for $ \epsilon \in \{0,1\}$ and $ r \in \mathbb{Z}_{\geq \epsilon}$.

Jeffrey Herschel Giansiracusa 2005-06-27