Topological Hermitian Cobordism

preprint2011arXivOpen access

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)RO(G)-graded homotopy groups of a (non-complete) Z/2×Z/2\Z/2\times \Z/2-equivariant spectrum called topological Hermitian cobordism. The methods of this paper may be useful in computing the homotopy groups of other GG-equivariant spectra where G≠Z/2G\neq \Z/2.

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