En–cohomology with coefficients as functor cohomology
نویسندگان
چکیده
منابع مشابه
Cohomology with Chains as Coefficients
THE cohomology theory described in the title is obtained by replacing the usual coefficient group by an arbitrary chain complex. This theory satisfies all of the Eilenberg-Steenrod axioms for a cohomology theory except the dimension axiom. There are other theories with this property, and among these our theory is probably the least extraordinary. That is to say, its definition and techniques ar...
متن کاملCohomology with Grosshans graded coefficients
Let the reductive group G act on the finitely generated commutative k-algebra A. We ask if the finite generation property of the ring of invariants extends to the full cohomology ring. We confirm this when the action on A is replaced by the ‘contracted’ action on the Grosshans graded ring grA, provided the characteristic of k is large.
متن کاملEquivariant Cohomology with Local Coefficients
We show that for a discrete group G, the equivariant cohomology of a G-space X with G-local coefficients M is isomorphic to the Bredon-Iliman cohomology of X with equivariant local coefficients M.
متن کاملInduction Functor in Non-commutative Equivariant Cohomology and Dirac Cohomology
The aim of this paper is to put some recent results of HuangPandz̆ić (conjectured by Vogan) and Kostant on Dirac cohomology in a broader perspective. This is achieved by introducing an induction functor in the noncommutative equivariant cohomology. In this context, the results of Huang-Pandz̆ić and Kostant are interpreted as special cases (corresponding to the manifold being a point) of more gene...
متن کاملFiniteness of rigid cohomology with coefficients
We prove that for any field k of characteristic p > 0, any separated scheme X of finite type over k, and any overconvergent F -isocrystal E over X, the rigid cohomology H i rig(X, E) and rigid cohomology with compact supports H i c,rig(X, E) are finite dimensional vector spaces over an appropriate p-adic field. We also establish Poincaré duality and the Künneth formula with coefficients. The ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2016
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2016.16.2981