Abstract Using the exceptional inverse image functor for quasi-finite proper morphisms of separated tame Deligne–Mumford stacks finite type over a field k , Serre duality is obtained in varying degrees generality stacks. The approach follows that schemes.

Coisotropic algebras are used to formalize coisotropic reduction in Poisson geometry as well deformation quantization and find applications various other fields well. In this paper we prove a Serre-Swan Theorem relating the regular projective modules over algebra built out of manifold $M$, submanifold $C$ an integrable smooth distribution $D \subseteq TC$ with vector bundles geometric situation...

Halperin has conjectured that the Serre spectral sequence of any fibration that has fibre space a certain kind of elliptic space should collapse at the E2-term. In this paper we obtain an equivalent phrasing of this conjecture, in terms of formality relations between base and total spaces in such a fibration (Theorem 3.4). Also, we obtain results on relations between various numerical invariant...

Given a positively graded commutative coherent ring A = ⊕j>0Aj , finitely generated as an A0-algebra, a bijection between the tensor Serre subcategories of qgrA and the set of all subsets Y ⊆ Proj A of the form Y =

We calculate the integral cohomology ring structure for various members of the Bianchi group family. The main tools we use are the Bockstein spectral sequence and a long exact sequence derived from Bass-Serre theory.