User hicham yamoul - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T13:30:30Z http://mathoverflow.net/feeds/user/3403 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/122740/cohomology-of-configuration-space-of-a-compact-manifold Cohomology of configuration space of a compact manifold Hicham YAMOUL 2013-02-23T18:09:36Z 2013-02-24T08:06:55Z <p>There is a reference or a methode which by it we can calculate the cohomology of a configuration space of a compact manifold simply connected? It is possible to find a spectral sequence converging to this cohomology (but the Cohen-Taylor spectral sequence)?</p> http://mathoverflow.net/questions/122740/cohomology-of-configuration-space-of-a-compact-manifold Comment by Hicham YAMOUL Hicham YAMOUL 2013-02-24T09:57:41Z 2013-02-24T09:57:41Z I use the classical the following definition of ordered configuration space: Let $M$ an $m-$dimensional manifold. The space of ordered configurations of $k$ pointsis the space $$F(M,k)=\{(x_1,...,x_k)\in M^k ;x_i\neq x_j for i\neq j \}$$, and we ask to find the rational cohomology of this space. http://mathoverflow.net/questions/122740/cohomology-of-configuration-space-of-a-compact-manifold Comment by Hicham YAMOUL Hicham YAMOUL 2013-02-23T22:05:21Z 2013-02-23T22:05:21Z I mean how to calculate the rational cohomology of the configuration space of a compact manifold simply connected in general, or if it is possible determinate a model fot the configuration space, i know that Kriz and Totaro gave a model for the configuration spaces $F(M,k)$ when $M$ is a complex projective manifold, but in general case, it is possible to use the same technics to determinate it?