4 papers
The ambient classifying space of a classical knot group
Federico W. Pasini
For a prime knot group, the classifying space for the family of the subgroups generated by the meridians can be seen as an abstract analogue of the ambient manifold in which the kn…
Enhanced Koszul properties in Galois cohomology
Jan Minac, Marina Palaisti, Federico W. Pasini +1
We prove that Galois cohomology satisfies several surprisingly strong versions of Koszul properties, under a well known conjecture, in the finitely generated case. In fact, these v…
Koszul algebras and quadratic duals in Galois cohomology
Jan Minac, Federico W. Pasini, Claudio Quadrelli +1
We investigate the Galois cohomology of finitely generated maximal pro- quotients of absolute Galois groups. Assuming the well-known conjectural description of these groups, we…
On the dimension of classifying spaces for families of abelian subgroups
Ged Corob Cook, Victor Moreno, Brita Nucinkis +1
We show that a finitely generated abelian group of torsion-free rank admits a dimensional model for the classifying space with isotropy in the family of subgrou…