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arxiv: 1409.4049 · v1 · pith:XDXXBEI6new · submitted 2014-09-14 · 🧮 math.SG

Floer cohomologies of non-torus fibers of the Gelfand-Cetlin system

Yuichi Nohara , Kazushi Ueda This is my paper
classification 🧮 math.SG
keywords fibersnon-toruscohomologiesfloergelfand-cetlinlagrangiansystemboundary
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The Gelfand-Cetlin system has non-torus Lagrangian fibers on some of the boundary strata of the moment polytope. We compute Floer cohomologies of such non-torus Lagrangian fibers in the cases of the 3-dimensional full flag manifold and the Grassmannian of 2-planes in a 4-space.

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    Singular fibers in type (ii) compactified Ruijsenaars-Schneider systems are smooth connected isotropic submanifolds, diffeomorphic to S^3 over singular vertices of the action polytope in simple cases.