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Automorphisms of manifolds and algebraic

The structure space \mathcal{S}(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. The authors construct a highly connected map from \mathcal{S}(M) to a concoction of algebraic L-theory and algebraic K-theory spac...

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Detalles Bibliográficos
Autores principales: Weiss, Michael S, Williams, Bruce E
Lenguaje:eng
Publicado: American Mathematical Society 2014
Materias:
Acceso en línea:http://cds.cern.ch/record/2630765
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author Weiss, Michael S
Williams, Bruce E
author_facet Weiss, Michael S
Williams, Bruce E
author_sort Weiss, Michael S
collection CERN
description The structure space \mathcal{S}(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. The authors construct a highly connected map from \mathcal{S}(M) to a concoction of algebraic L-theory and algebraic K-theory spaces associated with M. The construction refines the well-known surgery theoretic analysis of the block structure space of M in terms of L-theory.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
publisher American Mathematical Society
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spelling cern-26307652021-04-21T18:45:30Zhttp://cds.cern.ch/record/2630765engWeiss, Michael SWilliams, Bruce EAutomorphisms of manifolds and algebraicMathematical Physics and MathematicsThe structure space \mathcal{S}(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. The authors construct a highly connected map from \mathcal{S}(M) to a concoction of algebraic L-theory and algebraic K-theory spaces associated with M. The construction refines the well-known surgery theoretic analysis of the block structure space of M in terms of L-theory.American Mathematical Societyoai:cds.cern.ch:26307652014
spellingShingle Mathematical Physics and Mathematics
Weiss, Michael S
Williams, Bruce E
Automorphisms of manifolds and algebraic
title Automorphisms of manifolds and algebraic
title_full Automorphisms of manifolds and algebraic
title_fullStr Automorphisms of manifolds and algebraic
title_full_unstemmed Automorphisms of manifolds and algebraic
title_short Automorphisms of manifolds and algebraic
title_sort automorphisms of manifolds and algebraic
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2630765
work_keys_str_mv AT weissmichaels automorphismsofmanifoldsandalgebraic
AT williamsbrucee automorphismsofmanifoldsandalgebraic