性状品种间的泊松图:胶合和封盖

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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