
Novikov Conjectures, Index Theorems, and Rigidity: Volume 1
Oberwolfach 1993
Cambridge University Press
Published on 23. November 1995
Book
Paperback/Softback
384 pages
978-0-521-49796-1 (ISBN)
Description
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of Novikov's original 1970 statement of his conjecture * An annotated problem list * The texts of several important unpublished classic papers by Milnor, Browder, and Kasparov * Research/survey papers on the Novikov Conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and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.
Reviews / Votes
'These proceedings will be useful for all who are interested in related fields of mathematics such as topology, geometry and analysis and especially for those who are attracted by problems related to the topology of manifolds.' European Mathematical Society Newsletter ' ... this two volume collection ofers a very nice way to see both the historical development and the current activities in the field.' Monatshefte fuer MathematikMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 23 mm
Weight
622 gr
ISBN-13
978-0-521-49796-1 (9780521497961)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Steven C. Ferry | Andrew Ranicki | Jonathan M. Rosenberg
Novikov Conjectures, Index Theorems, and Rigidity: Volume 1
Oberwolfach 1993
E-Book
03/2011
1st Edition
Cambridge University Press
€42.99
Available for download
Persons
Editor
State University of New York, Binghamton
University of Edinburgh
Content
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.