On the RO(G)-graded coefficients of Q8 equivariant cohomology
نویسندگان
چکیده
We calculate the RO(G)-graded coefficients of HZ_, Eilenberg-MacLane spectrum constant Mackey functor for quaternion group Q8.
منابع مشابه
Equivariant 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 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 کاملThe equivariant spectral sequence and cohomology with local coefficients
In his pioneering work from the late 1940s, J.H.C. Whitehead established the category of CW-complexes as the natural framework for much of homotopy theory. A key role in this theory is played by the cellular chain complex of the universal cover of a connected CW-complex, which in turn is tightly connected to (co-)homology with local coefficients. In [8], we revisit these classical topics, drawi...
متن کاملEquivariant Simplicial Cohomology With Local Coefficients and its Classification
We introduce equivariant twisted cohomology of a simplicial set equipped with simplicial action of a discrete group and prove that for suitable twisting function induced from a given equivariant local coefficients, the simplicial version of Bredon-Illman cohomology with local coefficients is isomorphic to equivariant twisted cohomology. The main aim of this paper is to prove a classification th...
متن کاملOn the localization theorem in equivariant cohomology
We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplectic variety with a multiplicity-free action of a compact Lie group. This applies in particular to smooth, projective spherical varieties. 1 A precise version of the localization theorem Let X be a topological space with...
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: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107921