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Symplectic vector space
About: Symplectic vector space is a research topic. Over the lifetime, 2048 publications have been published within this topic receiving 53456 citations.
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15 citations
01 Jan 1979
15 citations
TL;DR: In this paper, it was shown that the basic structure of integrators is governed by a theorem which states precisely, how symplectic integrators with positive coefficients cannot be corrected or processed beyond second order.
15 citations
TL;DR: In this paper, the authors study various aspects of the metaplectic Howe duality realized by the Fischer decomposition for the representation space of polynomials on R 2 n valued in the Segal-Shale-Weil representation.
15 citations
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TL;DR: In this paper, the authors examined shifted symplectic and Poisson structures on spaces of framed maps and proved some results about shifted Poisson structure analogous to those in existing ones about symplectic structures.
Abstract: We examine shifted symplectic and Poisson structures on spaces of framed maps. We prove some results about shifted Poisson structures analogous to those in existing ones about symplectic structures. Then, we consider the space Map(X,D,Y) of maps from X to Y framed along a divisor D. We give conditions under which this space has a shifted symplectic or Poisson structure. Classical examples of symplectic and Poisson structures are provided with this theorem.
15 citations