Novikov Conjectures, Index Theorems, And Rigidity: Volume 1 - Ferry Steven C. (Curatore); Ranicki Andrew (Curatore); Rosenberg Jonathan M. (Curatore) | Libro Cambridge University Press 11/1995 - HOEPLI.it


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ferry steven c. (curatore); ranicki andrew (curatore); rosenberg jonathan m. (curatore) - novikov conjectures, index theorems, and rigidity: volume 1

Novikov Conjectures, Index Theorems, and Rigidity: Volume 1 Oberwolfach 1993

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 11/1995





Trama

These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.




Note Editore

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of Novikov's original 1970 statement of his conjecture • An annotated problem list • The texts of several important unpublished classic papers by Milnor, Browder, and Kasparov • Research/survey papers on the Novikov Conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and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.




Sommario

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.




Prefazione

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These 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.







Altre Informazioni

ISBN:

9780521497961

Condizione: Nuovo
Collana: London Mathematical Society Lecture Note Series
Dimensioni: 228 x 22 x 152 mm Ø 548 gr
Formato: Brossura
Pagine Arabe: 384






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