Geometric intersection in representations of mapping class groups of surfaces

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• 作者：Yasushi Kasahara ^{kasahara.yasushi@kochi-tech.ac.jp}
• 关键词：57M60 ; 20F65
• 刊名：Topology and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：217
• 期：Complete
• 页码：31-37
• 全文大小：295 K
• 卷排序：217

文摘

We show that the detection of geometric intersection in an arbitrary representation of the mapping class group of surface implies the injectivity of that representation up to center, and vice versa. As an application, we discuss the geometric intersection in the Johnson filtration. Also, we further consider the problem of detecting the geometric intersection between separating simple closed curves in a representation.