Configuration spaces and polyhedral products

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 comp...

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Bibliographic Details
Published inAdvances in mathematics (New York. 1965) Vol. 314; pp. 378 - 425
Main Authors Beben, Piotr, Grbić, Jelena
Format Journal Article
LanguageEnglish
Published Elsevier Inc 09.07.2017
Subjects
Configuration space
Golod ring
Moment–angle complex
Polyhedral product
Stanley–Reisner ring
Toric topology
55U10
Toric topology
55P35
Moment–angle complex
Polyhedral product
Stanley–Reisner ring
Golod ring
Configuration space
13F55
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Summary: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.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2017.05.001