Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993 (London Mathematical Society Lecture Note Series, Series Number 226)

ISBN 10: 0521497965 / ISBN 13: 9780521497961

Published by Cambridge University Press, 1996

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Bibliographic Details

• Title: Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993 (London Mathematical Society Lecture Note Series, Series Number 226)
• Publisher: Cambridge University Press
• Publication Date: 1996
• Language: English
• ISBN 10: 0521497965
• ISBN 13: 9780521497961
• Binding: Soft cover
• Condition: New

About this title

Synopsis

The Novikov conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes 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of Novikov's original 1970 statement of his conjecture; an annotated problem list; the texts of several important unpublished classic papers by Milnor, Browder, and Kasparov; and research/survey papers on the Novikov conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. Volume 2 contains fundamental long research papers by G. Carlsson on "Bounded K-theory and the assembly map in algebraic K-theory" and by S. Ferry and E. Pedersen on "Epsilon surgery theory"; and shorter research and survey papers on various topics related to the Novikov conjecture, by Bekka, Cherix, Valette, Eichhorn, and others. These volumes will appeal to researchers interested in learning more about this intriguing area.

From the Back Cover

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. This volume contains a detailed historical survey and bibliography of the Novikov Conjecture and of related subsequent developments.