Decomposing perfect discrete Morse functions on connected sum of 3-manifolds
TOPOLOGY AND ITS APPLICATIONS, cilt.260, ss.139-147, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 260
- Basım Tarihi: 2019
- Doi Numarası: 10.1016/j.topol.2019.04.005
- Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.139-147
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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. (C) 2019 Elsevier B.V. All rights reserved.