Ammann Tilings in Symplectic Geometry
Copyright policy )Ammann Tilings in Symplectic Geometry
In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that they are diffeomorphic but not symplectomorphic. These spaces inherit from the tiling its very interesting symmetries.
- University of Florence Italy
symplectic quasifold; nonperiodic tiling; quasilattice, quasilattice, FOS: Physical sciences, Geometric Topology (math.GT), nonperiodic tiling, Mathematical Physics (math-ph), Mathematics - Geometric Topology, Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, QA1-939, FOS: Mathematics, Symplectic Geometry (math.SG), symplectic quasifold, Quasicrystals and aperiodic tilings in discrete geometry, Mathematics, Mathematical Physics, 53D20 (Primary) 52C23 (Secondary)
symplectic quasifold; nonperiodic tiling; quasilattice, quasilattice, FOS: Physical sciences, Geometric Topology (math.GT), nonperiodic tiling, Mathematical Physics (math-ph), Mathematics - Geometric Topology, Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, QA1-939, FOS: Mathematics, Symplectic Geometry (math.SG), symplectic quasifold, Quasicrystals and aperiodic tilings in discrete geometry, Mathematics, Mathematical Physics, 53D20 (Primary) 52C23 (Secondary)
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