Connected sums of Brieskorn contact $5$-spheres

Abstract

In dimension $5$, the contact connected sum of Brieskorn contact spheres is, in general, not a Brieskorn contact sphere.

Added monotonicity argument in Example 3.2.1, to appear in Arch. Math. (Basel)

References in corpus (2)

• The plastikstufe - a generalization of the overtwisted disk to higher dimensions
• On filings of $\partial (V\times \mathbb{D})$