Chromatic characteristic classes in ordinary group cohomology
نویسندگان
چکیده
منابع مشابه
Chromatic Characteristic Classes in Ordinary Group Cohomology
We study a family of subrings, indexed by the natural numbers, of the mod p cohomology of a finite group G. These subrings are based on a family of vn-periodic complex oriented cohomology theories and are constructed as rings of generalised characteristic classes. We identify the varieties associated to these subrings in terms of colimits over categories of elementary abelian subgroups of G, na...
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Let G be a topological group and let EC be a free contractible G-space. The Bore1 construction on a G-space X is the orbit space Xo = EC x G X. When asked what equivariant cohomology is, most people would answer Bore1 cohomology, namely H:(X) = H*(X,). This theory has the claim of priority and the merit of ready computability, and many very beautiful results have been proven with it. However, i...
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There are characteristic classes that are the obstructions to the vanishing of the differentials in the Lyndon-Hochischild-Serre spectral sequence of an extension of an integral lattice L by a group G. These characteristic classes exist in the r-th page of the spectral sequence provided differentials di = 0 for all i < r. If L further decomposes into a sum of G-sublattice L = L ⊕ L, we show tha...
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Let G be a finite group. We use the results of [5] to show that the Tate homology of E(n) local spectra with respect to G produces E(n− 1) local spectra. We also show that the Bousfield class of the Tate homology of LnX (for X finite) is the same as that of Ln−1X. To be precise, recall that Tate homology is a functor from G-spectra to G-spectra. To produce a functor PG from spectra to spectra, ...
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ژورنال
عنوان ژورنال: Topology
سال: 2003
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(02)00011-3