Flipping Heegaard splittings and minimal surfaces

We show that the number of genus $g$ embedded minimal surfaces in $\mathbb{S}^3$ tends to infinity as $g\rightarrow\infty$. The surfaces we construct resemble doublings of the Clifford torus with curvature blowing up along torus knots as $g\rightarrow\infty$, and arise from a two-parameter min-max s...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Ketover, Daniel
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry Mathematics - Geometric Topology
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!