On the delooping of (framed) embedding spaces

Thursday, 29 November, 2018

Published in: 

arXiv:1811.12816

It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has applications to the spaces of disc embeddings fixed near the boundary and framed disc embeddings.

Author(s): 

Julien Ducoulombier
Victor Turchin
Thomas Willwacher