Topological Hermitian Cobordism

Abstract

Extending our method for investigating Real cobordism (which was recently used by Hill, Hopkins and Ravenel in their solution of the Kervaire invariant 1 problem), we investigate the $RO(G)$-graded homotopy groups of a (non-complete) $\mathbb{Z}/2\times \mathbb{Z}/2$-equivariant spectrum called topological Hermitian cobordism. The methods of this paper may be useful in computing the homotopy groups of other $G$-equivariant spectra where $G\ne \mathbb{Z}/2$.

References in corpus (1)

• On the non-existence of elements of Kervaire invariant one