Brieskorn manifolds as contact branched covers of spheres
- 97 Downloads
We show that Brieskorn manifolds with their standard contact structures are contact branched coverings of spheres. This covering maps a contact open book decomposition of the Brieskorn manifold onto a Milnor open book of the sphere.
Key words and phrasescontact branched cover Milnor open book Brieskorn manifold
Mathematics subject classification number53D10 57R17
Unable to display preview. Download preview PDF.
- [CNP]C. Caubel, A. Nemethi and P. Popescu-Pampu, Milnor open books and Milnor fillable contact 3-manifolds, Topology, In Press.Google Scholar
- [Gir]E. Giroux, Géométrie de contact: De la dimension trois vers les dimensions supérieures (Contact geometry: From dimension three to higher dimensions), Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. II: Invited lectures., Li, Ta Tsien (ed.), Beijing: Higher Education Press, 2002, 405–414 (in French).Google Scholar