Exact Lagrangians in $A_n$ -surface singularities

preprint2013arXivOpen access

In this paper we classify Lagrangian spheres in $A_n$ -surface singularities up to Hamiltonian isotopy. Combining with a result of A. Ritter, this yields a complete classification of exact Lagrangians in $A_n$ -surface singularities.

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Exact Lagrangians in $A_n$ -surface singularities

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Exact Lagrangians in AnA_nAn​-surface singularities

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Exact Lagrangians in $A_n$ -surface singularities