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

Date

2019-06-15

Author

Kosta, Neza Mramor
Pamuk, Mehmetcik
Varli, Hanife

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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.

Subject Keywords

Perfect discrete Morse function, Discrete vector field, Connected sum

URI

https://hdl.handle.net/11511/48889

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.topol.2019.04.005

Collections

Department of Mathematics, Article

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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.