Flat Partial Connections on a Three Manifold Equipped with a Codimension One Foliation

被引:0
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作者
Indranil Biswas
机构
[1] Tata Institute of Fundamental Research,School of Mathematics
来源
Geometriae Dedicata | 2000年 / 80卷
关键词
three manifold; flat connection; foliation;
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摘要
Given a compact connected oriented three manifold, equipped with a codimension one foliation, such that the Bott connection on the normal bundle is flat, a 2-form on the space parametrizing flat partial connections on it has been constructed. This form is closed. In the special case where the foliated three manifold is a surface bundle over the circle, this 2-form is identified with a certain 2-form on the parameter space for a class of paths in the representation space for the surface group. The 2-form, in question, on the parameter space for paths is constructed from the natural symplectic form on the representation space for a surface group.
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页码:65 / 72
页数:7
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