109 reputation
2
bio website
location München
age 25
visits member for 3 years, 9 months
seen Jul 6 '13 at 8:45

Mar
11
comment Computations in group cohomology
Thank you for this precise answer. I will try to do this and post again if there is a problem.
Mar
11
accepted Computations in group cohomology
Mar
10
asked Computations in group cohomology
Mar
9
comment Isotropic subspaces in cohomology
This is a nice example and seems to show that in high dimensions such examples are not at all pathological. Do you think than we can obtain in this way a result like : "a generic finitely presentable group (with sufficiently generators and relations) does not verify $g_\mathcal{R} = g_\mathcal{C}$" ?
Mar
9
accepted Isotropic subspaces in cohomology
Mar
8
comment Isotropic subspaces in cohomology
You are right, in full generality this is a question of linear algebra but maybe one can say something when the question is restricted to some class of manifolds. For instance this seems to be true for Kähler manifolds and I want to see if this has something to do with Hodge decomposition.
Mar
8
asked Isotropic subspaces in cohomology
Jan
26
awarded  Scholar
Jan
26
accepted Groups with large negative deficiency
Jan
26
accepted Cohomological dimension of a group, fibration and local coefficients
Jan
26
comment Cohomological dimension of a group, fibration and local coefficients
I'm sorry M. Kent, I made a mistake in writing : What I want is to prove that there is no Kähler group of cohomological dimension three.
Jan
26
asked Groups with large negative deficiency
Jan
26
comment Cohomological dimension of a group, fibration and local coefficients
I don't think so because in a way I try to prove something stronger. In fact we can adapt the proof in this article to show that if the cohomology of G satisfies 3-dimensional Poincaré duality, then we have a contradiction. What I want to prove is that there is no Kähler group of cohomological dimension one, without assumptions of Poincaré duality.
Jan
26
comment Cohomological dimension of a group, fibration and local coefficients
Yes and in fact this is my original problem, where G is a Kähler group and the epimorphism is induced by the Albanese map (G has 1-dimensional Albanese image).
Jan
26
awarded  Student
Jan
26
asked Cohomological dimension of a group, fibration and local coefficients