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Morse Flows with Fixed Points on the Boundary of 3-Manifolds

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We investigate the topological properties, structures, and classifications of the Morse flows with fixed points on the boundary of three-dimensional manifolds. We construct a complete topological invariant of a Morse flow, namely, P r-diagram, which is similar to the Heegaard diagram of a closed three-dimensional manifold.

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Authors and Affiliations

  1. T. Shevchenko Kyiv National University, Akad. Glushkov Ave., 4-E, Kyiv, 03022, Ukraine

    A. O. Prishlyak

  2. Shevchenko Kyiv National University, Akad. Glushkov Ave., 4-E, Kyiv, 03022, Ukraine

    S. V. Bilun

  3. Ostroh Academy” National University, Seminars’ka Str., 2, Ostroh, 35800, Rivne Oblast, Ukraine

    A. A. Prus

Authors
  1. A. O. Prishlyak
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  2. S. V. Bilun
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  3. A. A. Prus
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Correspondence to A. O. Prishlyak.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 226–241, April–September, 2022.

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Prishlyak, A.O., Bilun, S.V. & Prus, A.A. Morse Flows with Fixed Points on the Boundary of 3-Manifolds. J Math Sci 274, 881–897 (2023). https://doi.org/10.1007/s10958-023-06651-3

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