Decomposing perfect discrete Morse functions on connected sum of 3-manifolds


Kosta N. M. , PAMUK M. , Varli H.

TOPOLOGY AND ITS APPLICATIONS, cilt.260, ss.139-147, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 260
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.topol.2019.04.005
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.139-147

Özet

In this paper, we show that if a closed, connected, oriented 3-manifold M = M-1 # M-2 admits a perfect discrete Morse function, then one can decompose this function as perfect discrete Morse functions on M-1 and M-2. We also give an explicit construction of a separating sphere on M corresponding to such a decomposition. (C) 2019 Elsevier B.V. All rights reserved.