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arXiv · 1307.7998

Topologically Distinct Lagrangian and Symplectic Fillings

Chang Cao·Nathaniel Gallup·Kyle Hayden·Joshua M. Sabloff
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Abstract

We construct infinitely many Legendrian links in the standard contact $\mathbb{R}^3$ with arbitrarily many topologically distinct Lagrangian fillings. The construction is used to find links in $S^3$ that bound topologically distinct pieces of algebraic curves in $B^4 \subset \mathbb{C}^2$, is applied to find contact 3-manifolds with topologically distinct symplectic fillings, and is generalized to higher dimensions.

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Chang Cao, Nathaniel Gallup, Kyle Hayden, Joshua M. Sabloff. 2013-07-30. Topologically Distinct Lagrangian and Symplectic Fillings. https://arxiv.org/abs/1307.7998

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