Deformations of circle-valued Morse functions on surfaces

Let $M$ be a smooth connected orientable compact surface and let $\mathcal{F}_{\text{cov}}(M,S^1)$ be a space of all Morse functions $f: M → S^1$ without critical points on $∂M$ such that, for any connected component $V$ of $∂M$, the restriction $f : V → S^1$ is either a constant map or a covering m...

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Bibliographic Details
Date:2010
Main Authors: Maksimenko, S. I., Максименко, С. І.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2960
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal