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In this chapter we use the Atiyah-Hirzebruch spectral sequence to determine the whole magnetic equivariant K-theory groups of the two dimensional torus endowed with the rotation action of the cyclic magnetic group of order four. Furthermore, we furthermore show how to calculate the twisted version of this magnetic equivariant K-theory, defined by the group extension of the magnetic cyclic group of order eight.

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Applications in Topological Phases of Matter

  • 章节

  • 发表日期：

    2026年

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  • Bernardo Uribe Jongbloed,
  • Higinio Serrano Garcia,
  • Miguel Alejandro Xicoténcatl Merino

摘要

In this chapter we use the Atiyah-Hirzebruch spectral sequence to determine the whole magnetic equivariant K-theory groups of the two dimensional torus endowed with the rotation action of the cyclic magnetic group of order four. Furthermore, we furthermore show how to calculate the twisted version of this magnetic equivariant K-theory, defined by the group extension of the magnetic cyclic group of order eight.