A model for framed configuration spaces of points

2018/07/22 by Campos, Ricardo, Ducoulombier, Julien, Idrissi, Najib +1
#16E45 #18G55 #53C15 #53D55 #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1807.08319

Abstract

We study configuration spaces of framed points on oriented closed smooth manifolds. Such configuration spaces admit natural actions of the framed little discs operads, that play an important role in the study of embedding spaces of manifolds and in factorization homology. We construct real combinatorial models for these operadic modules, for orientable closed smooth manifolds.

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