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- W2770410968 abstract "With a triangulation of a planar polygon with $n$ sides, one can associate an integrable system on the Grassmannian of 2-planes in an $n$-space. In this paper, we show that the potential functions of Lagrangian torus fibers of the integrable systems associated with different triangulations glue together by cluster transformations. We also prove that the cluster transformations coincide with the wall-crossing formula in Lagrangian intersection Floer theory." @default.
- W2770410968 created "2017-12-04" @default.
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- W2770410968 date "2017-11-13" @default.
- W2770410968 modified "2023-09-26" @default.
- W2770410968 title "Potential functions on Grassmannians of planes and cluster transformations" @default.
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- W2770410968 doi "https://doi.org/10.48550/arxiv.1711.04456" @default.
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