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Abstract <p> Symmetry-protected topological phases are an active field of research in condensed matter physics. The classification of symmetry-protected topological phases is an important problem in mathematics and theoretical physics. In this paper, a direct approach based on the use of methods of homotopy theory and the theory of infinite loop spaces is proposed to describe the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2615_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Omega\)</EquationSource> </InlineEquation>-spectra and the generalized cohomology theories arising in the classification of topological phases. </p>

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\(\Omega\)-Spectrum in topological phases

  • 期刊论文

  • 发表日期：

    2025年4月25日

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  • E. A. Teplyakov

摘要

Abstract

Symmetry-protected topological phases are an active field of research in condensed matter physics. The classification of symmetry-protected topological phases is an important problem in mathematics and theoretical physics. In this paper, a direct approach based on the use of methods of homotopy theory and the theory of infinite loop spaces is proposed to describe the \(\Omega\) -spectra and the generalized cohomology theories arising in the classification of topological phases.