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This article is cited in 5 scientific papers (total in 5 papers)
Toric origami manifolds and multi-fans
Mikiya Masudaa, Seonjeong Parkb a Department of Mathematics, Osaka City University, Osaka, Japan
b Division of Mathematical Models, National Institute for Mathematical Sciences, Daejeon, Korea
Abstract:
The notion of a toric origami manifold, which weakens the notion of a symplectic toric manifold, was introduced by A. Cannas da Silva, V. Guillemin and A. R. Pires. They showed that toric origami manifolds bijectively correspond to origami templates via moment maps, where an origami template is a collection of Delzant polytopes with some folding data. Like a fan is associated to a Delzant polytope, a multi-fan introduced by A. Hattori and M. Masuda can be associated to an oriented origami template. In this paper, we discuss their relationship and show that any simply connected compact smooth $4$-manifold with a smooth action of $T^2$ can be a toric origami manifold. We also characterize products of even dimensional spheres which can be toric origami manifolds.
Received in May 2013
Citation:
Mikiya Masuda, Seonjeong Park, “Toric origami manifolds and multi-fans”, Algebraic topology, convex polytopes, and related topics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 286, MAIK Nauka/Interperiodica, Moscow, 2014, 331–346; Proc. Steklov Inst. Math., 286 (2014), 308–323
Linking options:
https://www.mathnet.ru/eng/tm3573https://doi.org/10.1134/S0371968514030182 https://www.mathnet.ru/eng/tm/v286/p331
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Abstract page: | 152 | Full-text PDF : | 32 | References: | 109 |
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