Configuration spaces and polyhedral products

Чер 29 2017

Publication date:
9 July 2017
Source:Advances in Mathematics, Volume 314
Author(s): Piotr Beben, Jelena Grbić
This paper aims to find the most general combinatorial conditions under which a moment–angle complex ( D 2 , S 1 ) K is a co-H-space, thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment–angle complex over a Golod simplicial complex is a co-H-space. Our main tool is a certain generalisation of the theory of labelled configuration spaces.