映射类组元素的扭曲、单峰和表示

Pub Date : 2022-07-01 DOI:10.5802/aif.3459

N. A'campo, J. Fernández de Bobadilla, Maria Pe Pereira, Pablo Portilla Cuadrado

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引用次数: 1

摘要

--我们使用tête-à-tête图和扭曲研究了平面曲线奇点的单调性和带边界定向曲面的伪周期同胚。tête-à-têt扭曲是对经典德恩扭曲的概括。我们引入了一类混合的tête-à-tête图和扭曲，并证明了混合tête-à-tête扭曲包含不可约平面曲线奇点的单调性。在一篇后续论文中，第四作者和B.Sigurdsson将此扩展到了可约情形。

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Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group

— We study monodromies of plane curve singularities and pseudoperiodic homeomorphisms of oriented surfaces with boundary using tête-à-tête graphs and twists. A tête-à-tête twist is a generalisation of the classical Dehn twist. We introduce the class of mixed tête-à-tête graphs and twists, and prove that mixed tête-à-tête twists contain the monodromies of irreducible plane curve singularities. In a sequel paper, the fourth author and B. Sigurdsson have extended this to the reducible case.

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