2016/03/23 by Ducoulombier, Julien
#18D50 #55P35 #57Q45 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1603.07162
In the present work, we extract pairs of topological spaces from maps between coloured operads. We prove that those pairs are weakly equivalent to explicit algebras over the one dimensional Swiss-Cheese operad SC1. Thereafter, we show that the pair formed by the space of long knots and the polynomial approximation of (k)-immerions from Rd to Rn is an SCd+1-algebra assuming the Dwyer-Hess'conjecture.