Brieskorn manifolds as contact branched covers of spheres

Abstract

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.

arXiv comment8 pages, 1 figure

References in corpus (1)

• Open book decompositions for contact structures on Brieskorn manifolds

Cited by in corpus (2)

• Braided embeddings of contact 3-manifolds in the standard contact 5-sphere
• On some examples and constructions of contact manifolds