Topological Hermitian Cobordism
Po Hu, Igor Kriz

TL;DR
This paper extends methods used in Real cobordism to study the $RO(G)$-graded homotopy groups of a specific $ ext{Z}/2 imes ext{Z}/2$-equivariant spectrum called topological Hermitian cobordism, potentially aiding computations for other groups.
Contribution
It introduces a new approach for analyzing the homotopy groups of a non-complete $ ext{Z}/2 imes ext{Z}/2$-equivariant spectrum, expanding tools for equivariant stable homotopy theory.
Findings
Developed methods for $RO(G)$-graded homotopy groups of topological Hermitian cobordism.
Demonstrated potential applicability to other $G$-equivariant spectra with $G eq ext{Z}/2$.
Extended previous techniques used in Real cobordism to a broader class of equivariant spectra.
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 -graded homotopy groups of a (non-complete) -equivariant spectrum called topological Hermitian cobordism. The methods of this paper may be useful in computing the homotopy groups of other -equivariant spectra where .
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology
