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A. Reznikov pointed out in his last article that incompressible surfaces and Freedman’s surfaces in a 3-manifold are analogues of units and cyclotomic units of a number field. In this survey, we briefly recollect his idea and remark further perspectives.

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A Note on Units and Surfaces

  • 会议论文

  • 发表日期：

    2025年

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  • Jun Ueki,
  • Akane Yasuda

摘要

A. Reznikov pointed out in his last article that incompressible surfaces and Freedman’s surfaces in a 3-manifold are analogues of units and cyclotomic units of a number field. In this survey, we briefly recollect his idea and remark further perspectives.