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

2019-06-15
Kosta, Neza Mramor
Pamuk, Mehmetcik
Varli, Hanife
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.
TOPOLOGY AND ITS APPLICATIONS

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Citation Formats
N. M. Kosta, M. Pamuk, and H. Varli, “Decomposing perfect discrete Morse functions on connected sum of 3-manifolds,” TOPOLOGY AND ITS APPLICATIONS, pp. 139–147, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48889.