4 papers
How to (symplectically) thread the eye of a (Lagrangian) needle
Klaus Mohnke
We show that there exists no Lagrangian embeddings of the Klein bottle into $\CC^{2}$. Using the same techniques we also give a new proof that any Lagrangian torus in $\CC^2$ is sm…
Holomorphic Disks and the Chord Conjecture
Klaus Mohnke
We prove (a weak version of) Arnold's Chord Conjecture using Gromov's ``classical'' idea in to produce holomorphic disks with boundary on a Lagrangian submanifold.
Lagrangian Embeddings and Holomorphic Discs in the Complement of Complex Hypersurfaces
Klaus Mohnke
For a given embedded Lagrangian in the complement of a complex hypersurface we show existence of a holomorphic disc in the complement having boundary on that Lagrangian.
Legendrian links of topological unknots
Klaus Mohnke
We use an estimate on the Thurston--Bennequin invariant of a Legendrian link in terms of its Kauffman-polynomial to show that links of topological unknots, e.g. the Borromean rings…