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- W4320521339 abstract "We prove a conjecture of Ian Agol: all isometric realizations of a polyhedral surface with boundary sweep out an isotropic subset in the Kapovich-Millson moduli space of polygons isomorphic to the boundary. For a generic polyhedral disk we show that boundaries of its isometric realizations make up a Lagrangian subset. As an application of this result, we obtain a new solution to the problem of Richard Kenyon about spanning domes of piecewise linear curves comprised of unit intervals in R^3." @default.
- W4320521339 created "2023-02-14" @default.
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- W4320521339 date "2022-08-09" @default.
- W4320521339 modified "2023-10-18" @default.
- W4320521339 title "Moduli spaces of polygons and deformations of polyhedra with boundary" @default.
- W4320521339 doi "https://doi.org/10.48550/arxiv.2208.05076" @default.
- W4320521339 hasPublicationYear "2022" @default.
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