Results 21 to 30 of about 48,683 (227)
Symplectic Toric Geometry and the Regular Dodecahedron
Journal of Mathematics, 2015 The regular dodecahedron is the only simple polytope among the platonic solids which is not rational. Therefore, it corresponds neither to a symplectic toric manifold nor to a symplectic toric orbifold.
Elisa Prato
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S-confining gauge theories and supersymmetry enhancements
Journal of High Energy Physics, 2023 We propose new classes of 4d N $$ \mathcal{N} $$ = 1 S-confining gauge theories, with a simple gauge group, rank-two matter and cubic superpotentials. The gauge group can be symplectic, orthogonal or special unitary. In some cases we derive the dualities
Stephane Bajeot +2 more
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Anti-symplectic involution and Floer cohomology [PDF]
, 2016 The main purpose of the present paper is a study of orientations of the moduli spaces of pseudo-holomorphic discs with boundary lying on a \emph{real} Lagrangian submanifold, i.e., the fixed point set of an anti-symplectic involutions $\tau$ on a ...
Auroux +9 more
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International Journal of Mathematics and Mathematical Sciences, 2010 Given a symplectic manifold M, we may define an operad structure on the the spaces Ok of the Lagrangian submanifolds of (M¯)k×M via symplectic reduction.
Alberto S. Cattaneo +2 more
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Provenance of classical Hamiltonian time crystals
Journal of High Energy Physics, 2020 Classical Hamiltonian systems with conserved charges and those with constraints often describe dynamics on a pre-symplectic manifold. Here we show that a pre-symplectic manifold is also the proper stage to describe autonomous energy conserving ...
Anton Alekseev, Jin Dai, Antti J. Niemi
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Integral cohomology of quotients via toric geometry [PDF]
Épijournal de Géométrie Algébrique, 2022 We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
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Symplectic reduction of quasi-morphisms and quasi-states [PDF]
, 2011 We prove that quasi-morphisms and quasi-states on a closed integral symplectic manifold descend under symplectic reduction to symplectic hyperplane sections.
Borman, Matthew Strom
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Mirror symmetry in emergent gravity
Nuclear Physics B, 2017 Given a six-dimensional symplectic manifold (M,B), a nondegenerate, co-closed four-form C introduces a dual symplectic structure B˜=⁎C independent of B via the Hodge duality ⁎.
Hyun Seok Yang
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Poisson sigma models and symplectic groupoids [PDF]
, 2000 We consider the Poisson sigma model associated to a Poisson manifold. The perturbative quantization of this model yields the Kontsevich star product formula. We study here the classical model in the Hamiltonian formalism.
A Weinstein +6 more
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Subflexible symplectic manifolds [PDF]
Geometry & Topology, 2018 We introduce a class of Weinstein domains which are sublevel sets of flexible Weinstein manifolds but are not themselves flexible. These manifolds exhibit rather subtle behavior with respect to both holomorphic curve invariants and symplectic flexibility.
Murphy, Emmy, Siegel, Kyler
openaire +3 more sources