トップページ > 談話会・セミナー等 > 分野別セミナー > The universal $sl_2$ invariant of bottom tangles

分野別セミナー

The universal $sl_2$ invariant of bottom tangles

開催期間
2010-06-25 16:00~2010-06-25 17:00
場所
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)
受講対象
 
講師
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.