DEHN TWISTS ON KAUFFMAN BRACKET SKEIN ALGEBRAS

被引：0

作者：

Tsuji, Shunsuke ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538941, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2018年 / 41卷 / 01期

关键词：

Mapping class group; Kauffman bracket; Dehn twist; Skein algebra;

D O I：

10.2996/kmj/1521424819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit formula for the action of the Dehn twist along a simple closed curve in a compact connected oriented surface on the completion of the filtered skein modules of the surface. To do this, we introduce filtrations of the Kauffman bracket skein algebra and the Kauffman bracket skein modules of the surface.

引用

页码：16 / 41

页数：26

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