Algebraic Topology: Proceedings of an International by I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes

By I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes Miller, Douglas Ravenel (eds.)

These are lawsuits of a global convention on Algebraic Topology, held 28 July via 1 August, 1986, at Arcata, California. The convention served partly to mark the twenty fifth anniversary of the magazine Topology and sixtieth birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and used to be conceived as a successor to the Aarhus meetings of 1978 and 1982. a few thirty papers are integrated during this quantity, regularly at a study point. topics comprise cyclic homology, H-spaces, transformation teams, actual and rational homotopy thought, acyclic manifolds, the homotopy thought of classifying areas, instantons and loop areas, and intricate bordism.

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Extra resources for Algebraic Topology: Proceedings of an International Conference held in Arcata, California, July 27 – August 2, 1986

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Lie the ~M Lie are algebra the third Note of actually by p r o d u c t grading or b r a c k e t will of an a s s o c i a t i v e Let R~ be L so always that to Lie p: ~ M ~ A denote LX) Put a ~ L. Let generated one. these (L,d) as a free M=~(L,d) is the p r e v i o u s l y - s t u d i e d is a f r e e the m u l t i p l i c a t i o n and A, Likewise, 1 ~. containing P(Mij)~Aij. ~ IM1 * : MI~ ~ NI, and Combining u: ~L' R-algebra, zero R-algebra u: 7 M ~ A. determines in d e g r e e s Nij M ®n ~ A.

Annals et espaces 149-156. W. Neisendorfer with 24. pp. and 4(1986), Algebras", locaux Elements New York, 1978. of Homotopy Theory, Springer- O n t h e c o m p l e x b o r d i s m of classifying spaces MARTIN BENDERSKY DONALD M. ([G]) CONJECTURE 1. If G is any spherical space-form group, there is an isomorphism of graded abelian groups MU. (BG) ~ ku. (BG) ® Z[x2, : i > 2], where x2~ is a generator of grading 2i in a polynomial algebra. ( ) is complex bordism, and ku. ( ) is connective complex K-theory.

By the Gysin sequence, there is an isomorphism in even dimensions (3) MU~'(L ~) ~ MV*[z]/([p~](z),z"+~), The second author was supported by a National Science Foundation research grant 54 where [p'](z) = ci(rlP'), and the coefficient ring MU* ~ Z[x~, : i > 1]. Note that x2, has degree 2i when thought of as a homology class, and degree - 2 i when thought of as a cohomology class. Let S denote the set of finite sets of integers > 2 (including the empty set). If I = {i;} E S, let l l I = ~ i s and x~ = 1-Ix2i, E MU*.

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