4流形中的曲面及其映射类群

Topology Pub Date : 2008-01-01 DOI:10.1016/j.top.2007.05.001

Susumu Hirose , Akira Yasuhara

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引用次数: 9

摘要

光滑4流形中的曲面被称为挠性曲面，如果对于表面上的任何微分同构φ，在4流形上存在一个微分同构，其在表面上的限制是φ，并且是恒等的同位素。我们研究了光滑4流形M包含柔性结曲面的充分条件，并在单连通4流形中引入了从任意结曲面得到柔性结曲面的局部运算。

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Surfaces in 4-manifolds and their mapping class groups

A surface in a smooth 4-manifold is called flexible if, for any diffeomorphism $ϕ$ on the surface, there is a diffeomorphism on the 4-manifold whose restriction on the surface is $ϕ$ and which is isotopic to the identity. We investigate a sufficient condition for a smooth 4-manifold $M$ to include flexible knotted surfaces, and introduce a local operation in simply connected 4-manifolds for obtaining a flexible knotted surface from any knotted surface.

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来源期刊

Topology 数学-数学

自引率

0.00%

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审稿时长

1 months