Posted in

Speaker:

Najib Idrissi
Affiliation:

Université Lille 1
Date:

Wed, 2017-02-15 11:00 - 11:30
Location:

MPIM Lecture Hall We prove the validity over $R$ of a CDGA model of configuration spaces for

simply connected manifolds of dimension at least $4$, answering a conjecture of

Lambrechts--Stanley.

We get as a result that the real homotopy type of such configuration spaces only depends

on a Poincaré duality model of the manifold.

We moreover prove that our model is compatible with the action of the Fulton--MacPherson operad

when the manifold is framed, by relying on Kontsevich's proof of the formality of the little disks

operads.

We use this more precise result to get a complex computing factorization homology of

framed manifolds.

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