paper

Perfect Discrete Morse Functions on Connected Sums

arXiv:1501.06200

Abstract

We study perfect discrete Morse functions on closed oriented n-dimensional manifolds. We show how to compose such functions on connected sums of closed oriented manifolds and how to decompose on connected sums of closed oriented surfaces.

19 pages, 19 figures; made some corrections in the introductory part of the paper due to additional references that we have not been aware of before