William C. Kronholm
The RO(G)-Graded Serre Spectral Sequence.
Чт, 08/27/2009 - 13:23 — SomNambulAuthors: William C. Kronholm
Subjects: Algebraic Topology
AbstractIn this paper the Serre spectral sequence of Moerdijk and Svensson is
extended from Bredon cohomology to RO(G)-graded cohomology for finite groups G.
Special attention is paid to the case G=Z/2 where the spectral sequence is used
to compute the cohomology of certain projective bundles and loop spaces.The RO(G)-Graded Serre Spectral Sequence.
Чт, 08/27/2009 - 13:23 — SomNambulAuthors: William C. Kronholm
Subjects: Algebraic Topology
AbstractIn this paper the Serre spectral sequence of Moerdijk and Svensson is
extended from Bredon cohomology to RO(G)-graded cohomology for finite groups G.
Special attention is paid to the case G=Z/2 where the spectral sequence is used
to compute the cohomology of certain projective bundles and loop spaces.A Freeness Theorem for RO(Z/2)-graded Cohomology.
Чт, 08/27/2009 - 13:23 — SomNambulAuthors: William C. Kronholm
Subjects: Algebraic Topology
AbstractIn this paper it is shown that the RO(Z/2)-graded cohomology of a certain
class of Rep(Z/2)-complexes, which includes projective spaces and Grassmann
manifolds, is always free as a module over the cohomology of a point when the
coefficient Mackey functor is \underline{Z/2}.A Freeness Theorem for RO(Z/2)-graded Cohomology.
Чт, 08/27/2009 - 13:23 — SomNambulAuthors: William C. Kronholm
Subjects: Algebraic Topology
AbstractIn this paper it is shown that the RO(Z/2)-graded cohomology of a certain
class of Rep(Z/2)-complexes, which includes projective spaces and Grassmann
manifolds, is always free as a module over the cohomology of a point when the
coefficient Mackey functor is \underline{Z/2}.
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