Semi-free $R^1$ action and Bott map

• Date: 2013
• Author Affiliations: V. Sharko — Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev; D. Gol’cov — Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev
• Keywords: keywords
• Main Authors: Sharko, V., Gol’cov, D., Шарко, В., Гольцов, Д.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/311
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Let $M^{n}$ be a compact closed manifold of dimension at least 3. We study the $R^1$-Bott functions on $M^{n}$. Separately investigated $R^1$-invariant Bott functions on $M^{2n}$ with a semi-free circle action which has finitely many fixed points. The aim of this paper is to find exact...