Combinatorial models for real configuration spaces and \(E_ n\)-operads. (English) Zbl 0860.18001

Berger, Clemens

Loday, Jean-Louis (ed.) et al., Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Providence, RI: American Mathematical Society. Contemp. Math. 202, 37-52 (1997).

Summary: We define several partially ordered sets with the equivariant homotopy type of real configuration spaces \(F(\mathbb{R}^n,p)\). The main tool is a general method for constructing \(E_n\)-suboperads of a given \(E_\infty\)-operad by appropriate cellular subdivision.
For the entire collection see [Zbl 0855.00018].

MSC:

18B35	Preorders, orders, domains and lattices (viewed as categories)
06A07	Combinatorics of partially ordered sets
20B30	Symmetric groups

Keywords:

\(E_ \infty\)-operad; partially ordered sets; equivariant homotopy type; real configuration spaces; cellular subdivision