A(infinity)-actions and recognition of relative loop spaces

作者：Hoefel Eduardo^*; Livernet Muriel; Stasheff Jim

来源：Topology and Its Applications, 2016, 206: 126-147.

DOI：10.1016/j.topol.2016.03.023

• Loop spaces
• Homotopy actions
• Operads

We show that relative loop spaces are recognized by Am-actions. A certain version of the 2-sided bar construction is used to prove such recognition theorem. The operad Act, of A(infinity)-actions is presented in terms of the Boardman-Vogt resolution of the operad Act. We exhibit an operad homotopy equivalence between such resolution and the 1-dimensional Swiss-cheese operad SC1.

• 出版日期2016-6-15