Decomposing Perfect Discrete Morse Functions on Connected Sums of 3-manifolds
Algebraic Topology
2018-04-04 v1
Abstract
In this paper, we show that if a closed, connected, oriented 3-manifold M = M1#M2 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.
Cite
@article{arxiv.1804.00783,
title = {Decomposing Perfect Discrete Morse Functions on Connected Sums of 3-manifolds},
author = {Neza Mramor Kosta and Mehmetcik Pamuk and Hanife Varli},
journal= {arXiv preprint arXiv:1804.00783},
year = {2018}
}
Comments
10 pages, 5 figures