Download Algebraic Topology and Transformation Groups: Proceedings of by Stefan Bauer (auth.), Tammo tom Dieck (eds.) PDF

By Stefan Bauer (auth.), Tammo tom Dieck (eds.)

Contents: S. Bauer: The homotopy form of a 4-manifold with finite primary group.- C.-F. Bödigheimer, F.R. Cohen: Rational cohomology of configuration areas of surfaces.- G. Dylawerski: An S1 -degree and S1 -maps among illustration spheres.- R. Lee, S.H. Weintraub: On sure Siegel modular different types of genus and degrees above two.- L.G. Lewis, Jr.: The RO(G)-graded equivariant usual cohomology of advanced projective areas with linear /p actions.- W. Lück: The equivariant degree.- W. Lück, A. Ranicki: surgical procedure transfer.- R.J. Milgram: a few feedback at the Kirby - Siebenmann class.- D. Notbohm: The fixed-point conjecture for p-toral groups.- V. Puppe: easily hooked up manifolds with out S1-symmetry.- P. Vogel: 2 x 2 - matrices and alertness to hyperlink idea.

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Extra resources for Algebraic Topology and Transformation Groups: Proceedings of a Conference held in Göttingen, FRG, August 23–29, 1987

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M 6) = (16,3,3,0,I,0,i), F c A c F(2). equivalence) yielding A There are very many such so we content ourselves Corollary 4"5" Then Let F c A c F(2) is a A(G)-equlvalent dim H4(M A) A with listing the theorem. dim H4(M A) for (even up to A(G)the extreme cases. be any subgroup with to one of the following, of A/F [A: f] = 2. 6. [F(2): A] = 2, Let so ~A: F(2)/F --+ {±I}. following, solu- is as stated: Generator Corollary given in 61 From this theorem we may of course determine any A the linear system II This tion, in this fashion and F c A c F(2) A be any subgroup with is the kernel of a homomorphism Then dim H4(MA) A is a A(G)-equivalent is as stated: to one of the 51 Generators not in Ker(~A) Pl 19 PI' P2 19 PI' q2 16 PI' P2' P3 17 PI' P2' q3 16 PI' P2' ql' q3 17 (Note that here H4(MA) ducible representations of will be a sum of two types of irreG, six cases of this corollary trivial types of irreducibles We mology Dimension of H4(M A) close of by M A.

Frequently the G-action on M(e) is trivial; in these cases the composite p r is just multiplication by p. A map f : M + N between Mackey functors consists of l lomomorphisn~s f(1): M(1) ~ N(1) and f(e) : M(e) -+ N(e) 57 which commute with p and r in the obvious sense. The map f(e) must also be G-equivariant. The category ~fft of Mackey functors is a complete and cocomplete abelian category. The limit or colimit of a diagram in ~ is formed by taking the limit or colimit of the corresponding two diagrams consisting of the abelian groups associated to G / G and to G/e.

LW 3 ] Moduli spaces of Riemann surfaces of genus two with level structures, to appear in Trans. Amer. Math. Soc. IN] Mumford, D. Stability of projective varieties, L'Enseignement Math. 23 (1977), 39-110. groups, Yale University Louisiana State University and Universit~t GSttingen T H E R O ( G ) - G R A D E D EQUIVARIANT ORDINARY C O H O M O L O G Y OF COMPLEX P R O J E C T I V E SPACES W I T H LINEAR 2[/p ACTIONS L. Gaunce Lewis, Jr. I N T R O D U C T I O N . If X is a CW complex with cells only in even dimensions and R is a ring, then, by an elementary result in cellular cohomology theory, the ordinary eohomology H*(X;R) of X with R coefficients is a free, 7/-graded R-module.

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