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12, 24 and Beyond

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arxiv 1604.00277 v1 pith:45U5M4L7 submitted 2016-04-01 math.CO math.AGmath.SG

12, 24 and Beyond

Leonor Godinho , Frederik von Heymann , Silvia Sabatini This is my paper
classification math.CO math.AGmath.SG
keywords reflexivecertainmonotoneactionadmitapplicationapplyassociated
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We generalize the well-known "12" and "24" Theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects, here called reflexive GKM graphs, that are associated with certain monotone symplectic manifolds which do not necessarily admit a toric action. As an application, we provide bounds on the Betti numbers for certain monotone Hamiltonian spaces which depend on the minimal Chern number of the manifold.

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Cited by 1 Pith paper

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  1. Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

    hep-th 2024-03 unverdicted novelty 5.0

    Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.