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- W1913352544 abstract "We introduce the cutting construction of possibly non-compact symplectic toric manifolds, in particular, toric symplectic cones that correspond to a weakly convex good cone. Since the symplectization of a toric contact manifold is a toric symplectic cone, we can also construct toric contact manifolds that correspond to a weakly convex good cone by the cutting construction. (Note that these toric contact manifolds can not be constructed by Delzant construction.) We further prove there are no toric Sasakian structures on these contact manifolds. From this, contact toric manifolds of toric K-contact type are of toric Sasakian type." @default.
- W1913352544 created "2016-06-24" @default.
- W1913352544 creator A5072244561 @default.
- W1913352544 date "2013-01-13" @default.
- W1913352544 modified "2023-09-26" @default.
- W1913352544 title "The cutting construction of toric symplectic and contact manifolds" @default.
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- W1913352544 doi "https://doi.org/10.48550/arxiv.1301.2782" @default.
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