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<p>In this work, we investigate the classification of Morse-Bott functions defined on the projective plane up to topological equivalence. More specifically, we construct a complete topological invariant for simple real Morse-Bott functions on the projective plane. This invariant is inspired by the Reeb graph and is referred to here as the equipped MB-Reeb graph.</p>

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Morse-Bott functions on the projective plane

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • E. B. Batista,
  • J. C. F. Costa,
  • I. S. Meza-Sarmiento

摘要

In this work, we investigate the classification of Morse-Bott functions defined on the projective plane up to topological equivalence. More specifically, we construct a complete topological invariant for simple real Morse-Bott functions on the projective plane. This invariant is inspired by the Reeb graph and is referred to here as the equipped MB-Reeb graph.