Poisson algebras of curves on bordered surfaces and skein quantization
トポロジー金曜セミナー
開催期間
2015.5.8(金)
16:00 ~ 17:00
16:00 ~ 17:00
場所
九州大学 伊都キャンパス 伊都図書館3階 *中セミナー室1*(入口は数理・IMI棟3F)
講演者
湯淺 亘 (東京工業大学)
概要
We define a (co-)Poisson (co)bracket on the symmetric algebra of a quotient of the vector space spanned by the regular homotopy classes of curves on the bordered surface by generalizing the Goldman bracket and the Turaev cobracket. Moreover, we define a Poisson algebra of unoriented curves on a bordered surface and show that a quantization of the Poisson algebra coincides with the skein algebra of the bordered surface defined by Muller.