Sullivan's coproduct on the reduced based loop space homology

開催日時
2017/01/16 月 15:30 - 17:00
場所
6号館609号室
講演者
内藤貴仁
講演者所属
東京大
概要

In string topology, Sullivan introduced a coproduct on the reduced loop space homology and showed that the homology has an infinitesimal bialgebra structure with respect to the coproduct and Chas-Sullivan loop product. In this talk, I will introduce a based loop space version of Sullivan's coproduct and show some properties of the coproduct of rationally elliptic pure manifolds.