Novikov conjectures, index theorems and rigidity : Oberwolfach 1993

著者

• Ferry, Steven C
• Ranicki, Andrew
• Rosenberg, Jonathan

書誌事項

Novikov conjectures, index theorems and rigidity : Oberwolfach 1993

edited by Steven C. Ferry, Andrew Ranicki, Jonathan Rosenberg

（London Mathematical Society lecture note series, 226-227）

Cambridge University Press, 1995

• v. 1
• v. 2

注記

Includes bibliographical references

内容説明・目次

巻冊次

v. 2 ISBN 9780521497954

内容説明

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September, 1993, on the subject of `Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, analysis.

目次

• 1. Proper affine isometric actions of amenable groups M. E. Bekka, P. A. Cherix and A. Vakette
• 2. Bounded K-theory and the assembly map in algebraic K-theory Gunnar Carlsson
• 3. On the rigidity of the index on open manifolds J. Eichhorn
• 4. Remarks on Steenrod Homology S. Ferry
• 5. Epsilon surgery Steven C. Ferry and E. Pederson
• 6. On the coarse Baum-connes conjecture N. Higson and J. Roe
• 7. Exotic index theory and the Novikov conjecture S. Hurder
• 8. Bounded and continuous control Eric Pedersen
• 9. On the homotopy invariance of the boundedly controlled signature of a manifold over an open cone E. K. Pederson, J. Roe and S. Weinberger
• 10. 3-manifolds and PD(3)-groups Charles B. Thomas
• 11. Orthogonal complements and endomorphisms of Hilbert Modules and C*-Elliptic Complexes E. V. Troitsky
• 12. Assembly Michael Weiss and Bruce Williams
• 13. Pro-exclusive Functions Michael Weiss and Bruce Williams.

巻冊次

v. 1 ISBN 9780521497961

内容説明

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September 1993, on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry and analysis. Volume 1 contains: * A detailed historical survey and bibliography of the Novikov Conjecture and of related subsequent developments, including an annotated reprint (both in the original Russian and in English translation) of Novikov's original 1970 statement of his conjecture * An annotated problem list * The texts of several important unpublished classic papers by Milnor, Browder, and Kasparov * Research/survey papers on the Novikov Conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg.

目次

• 1. Homotopy type of differentiable manifolds William Browder
• 2. A history and survey of the Novikov conjecture S. C. Ferry, A. RanickI and J. Rosenberg
• 3. A coarse approach to the Novikov conjecture S. C. Ferry and Shmuel Weinberger
• 4. Reflections on the Novikov conjecture Mikhael Gromov
• 5. K-theory, group C*-algebras and higher signatures (Conspectus) Gennadi Kasparov
• 6. On the Steenrod homology theory John Milnor
• 7. Controlled Fredholm Representations A. S. Mishchenko
• 8. Assembly maps in bordism-type theories Frank Quin
• 9. On the Novikov conjecture Andrew Ranicki.

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詳細情報

• NII書誌ID(NCID): BA26385844
• ISBN:
  • 0521497965
  • 0521497957
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 2 v.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 415.7
• 親書誌ID:
  • BA0005393X