性状品种间的泊松图:胶合和封盖

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2021-04-12 DOI:10.4310/JSG.2022.v20.n6.a2

I. Biswas, J. Hurtubise, L. Jeffrey, Sean Lawton

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引用次数: 2

摘要

设G是紧李群或复约仿射代数群。我们通过相应曲面之间的映射来探索曲面群的g -特征变体之间的诱导映射。结果表明，这些映射一般是泊松映射。我们还给出了当G=SL(2,C)时计算泊松双向量的有效算法。我们通过显式计算5孔球的泊松双向量来证明该算法，这是欧拉特征-3曲面的第一个例子。

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Poisson maps between character varieties: gluing and capping

Let G be a compact Lie group or a complex reductive affine algebraic group. We explore induced mappings between G-character varieties of surface groups by mappings between corresponding surfaces. It is shown that these mappings are generally Poisson. We also given an effective algorithm to compute the Poisson bi-vectors when G=SL(2,C). We demonstrate this algorithm by explicitly calculating the Poisson bi-vector for the 5-holed sphere, the first example for an Euler characteristic -3 surface.

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.