Results 101 to 110 of about 1,844 (204)
Symplectic geometry of the moduli space of projective structures in homological coordinates [PDF]
Marco Bertola +2 more
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We consider generalizations of symplectic manifolds called n-plectic manifolds. A manifold is n-plectic if it is equipped with a closed, nondegenerate form of degree n+1. We show that higher structures arise on these manifolds which can be understood as the categorified or homotopy analogues of important structures studied in symplectic geometry and ...
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On the hyperbolic symplectic geometry
The present article provides a new characterization of the geometry on the points and hyperbolic lines of a non-degenerate symplectic polar space. This characterization is accomplished by studying the family of subspaces obtained when considering the polars of all hyperbolic lines. Let \(\mathbb W_{2n-1}(\mathbb F)\) denote the polar space with respect
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Multipole Vortex Blobs (MVB): Symplectic Geometry and Dynamics. [PDF]
Holm DD, Jacobs HO.
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Flat Affine and Symplectic Geometries on Lie Groups [PDF]
Andrés Villabón
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Symplectic geometry of conical symplectic resolutions
Ever since Kronheimer's celebrated hyperkähler construction of gravitational instantons thirty years ago, many similar constructions have appeared in the mathematical literature, eventually producing a vast class of holomorphic symplectic manifolds nowadays called Conical Symplectic Resolutions (CSRs).
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Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machine Learning. [PDF]
Barbaresco F.
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Symplectic topology as the geometry of action functional. I. Relative Floer theory on the cotangent bundle [PDF]
Yong‐Geun Oh
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Some quantitative results in $C^0$ symplectic geometry [PDF]
Lev Buhovsky, Emmanuel Opshtein
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