Configuration Spaces and Polyhedral Products

2014/09/15 by Beben, Piotr, Grbić, Jelena
#13F55 #55P15 #55P35 #55U10 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.4462

Abstract

This paper aims to find the most general combinatorial conditions under which a moment-angle complex (D²,S¹)^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.

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