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arXiv · 1510.08031

Floer cohomology of Platonic Lagrangians

Jack Smith
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Abstract

We analyse holomorphic discs on Lagrangian SU(2)-orbits in a family of quasihomogeneous threefolds of SL(2, C), previously studied by Evans-Lekili, introducing several techniques that should be applicable to wider classes of homogeneous Lagrangians. By studying the closed-open map we place strong restrictions on the self-Floer cohomology of these Lagrangians, which we then compute using the Biran-Cornea pearl complex.

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Jack Smith. 2015-10-27. Floer cohomology of Platonic Lagrangians. https://doi.org/10.4310/jsg.2019.v17.n2.a6

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