The relative lattice path operad

Alexandre Quesney

doi:10.2140/agt.2018.18.1753

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Home > Journals > Algebr. Geom. Topol. > Volume 18 > Issue 3 > Article

2018 The relative lattice path operad

Alexandre Quesney

Algebr. Geom. Topol. 18(3): 1753-1798 (2018). DOI: 10.2140/agt.2018.18.1753

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Abstract

We construct a set-theoretic coloured operad $ℛ ℒ$ that may be thought of as a combinatorial model for the Swiss cheese operad. This is the relative (or Swiss cheese) version of the lattice path operad constructed by Batanin and Berger. By adapting their condensation process we obtain a topological (resp. chain) operad that we show to be weakly equivalent to the topological (resp. chain) Swiss cheese operad.