Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Najib Idrissi
Zugehörigkeit:

Université Lille 1
Datum:

Mit, 2017-02-15 11:00 - 11:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3444

[3] http://www.mpim-bonn.mpg.de/de/node/6791