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arXiv · 1404.1817

A topological constraint for monotone Lagrangians in hypersurfaces of Kähler manifolds

Simon Schatz
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Abstract

In this paper is established a topological constraint for monotone Lagrangian embeddings in certain complex hypersurfaces of integral Kähler manifolds. As an application, we prove that it is impossible to embed a connected sum of $S^{1}\times S^{2k}$s in $\mathbb{C}P^{2k+1}$ as a monotone Lagrangian.

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Simon Schatz. 2014-04-15. A topological constraint for monotone Lagrangians in hypersurfaces of Kähler manifolds. https://arxiv.org/abs/1404.1817

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