Solid angles and Seifert hypersurfaces
© 2020, The Author(s). Given a smooth closed oriented manifold M of dimension n embedded in Rn+2, we study properties of the ‘solid angle’ function Φ: Rn+2\ M→ S1. It turns out that a non-critical level set of Φ is an explicit Seifert hypersurface for M. This gives an explicit analytic construction...
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th-cmuir.6653943832-684662020-04-02T15:30:33Z Solid angles and Seifert hypersurfaces Maciej Borodzik Supredee Dangskul Andrew Ranicki Mathematics Social Sciences © 2020, The Author(s). Given a smooth closed oriented manifold M of dimension n embedded in Rn+2, we study properties of the ‘solid angle’ function Φ: Rn+2\ M→ S1. It turns out that a non-critical level set of Φ is an explicit Seifert hypersurface for M. This gives an explicit analytic construction of a Seifert surface in higher dimensions. 2020-04-02T15:27:48Z 2020-04-02T15:27:48Z 2020-01-01 Journal 15729060 0232704X 2-s2.0-85080992626 10.1007/s10455-020-09707-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85080992626&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68466 |
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Mathematics Social Sciences |
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Mathematics Social Sciences Maciej Borodzik Supredee Dangskul Andrew Ranicki Solid angles and Seifert hypersurfaces |
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© 2020, The Author(s). Given a smooth closed oriented manifold M of dimension n embedded in Rn+2, we study properties of the ‘solid angle’ function Φ: Rn+2\ M→ S1. It turns out that a non-critical level set of Φ is an explicit Seifert hypersurface for M. This gives an explicit analytic construction of a Seifert surface in higher dimensions. |
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Journal |
| author |
Maciej Borodzik Supredee Dangskul Andrew Ranicki |
| author_facet |
Maciej Borodzik Supredee Dangskul Andrew Ranicki |
| author_sort |
Maciej Borodzik |
| title |
Solid angles and Seifert hypersurfaces |
| title_short |
Solid angles and Seifert hypersurfaces |
| title_full |
Solid angles and Seifert hypersurfaces |
| title_fullStr |
Solid angles and Seifert hypersurfaces |
| title_full_unstemmed |
Solid angles and Seifert hypersurfaces |
| title_sort |
solid angles and seifert hypersurfaces |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85080992626&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68466 |
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