The universal $sl_2$ invariant of bottom tangles
- 2010-06-25 16:00～2010-06-25 17:00
- 伊都キャンパス 伊都図書館3階 小講義室 1 （入口は数理棟３Ｆ）
- 鈴木 咲衣 (京都大学 RIMS, 日本学術振興会特別研究員ＤＣ２)
要旨： A bottom tangle is a tangle in a cube consisting of arc components whose boundary points are placed on the bottom, and every link can be represented as the closure of a bottom tangle. We study the universal $sl_2$ invariant of three types of bottom tangle which are called boundary, ribbon, and brunnian. For each type of bottom tangle, we give a certain small subalgebra in which the universal $sl_2$ invariant of the type of bottom tangle takes values. Those results are applied to the colored Jones polynomial of boundary, ribbon, or of brunnian links.