Decomposing Perfect Discrete Morse Functions on Connected Sums of 3-manifolds

Published 3 Apr 2018 in math.AT | (1804.00783v1)

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.

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