PERFECT DISCRETE MORSE FUNCTIONS ON CONNECTED SUMS

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Varli H., PAMUK M., Kosta N. M.

HOMOLOGY HOMOTOPY AND APPLICATIONS, vol.20, no.1, pp.219-236, 2018 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 20 Issue: 1
• Publication Date: 2018
• Doi Number: 10.4310/hha.2018.v20.n1.a13
• Journal Name: HOMOLOGY HOMOTOPY AND APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.219-236
• Open Archive Collection: AVESIS Open Access Collection
• Middle East Technical University Affiliated: Yes

Abstract

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