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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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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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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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.