The Novikov Conjecture
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The Novikov Conjecture
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Author : Matthias Kreck
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-05
The Novikov Conjecture written by Matthias Kreck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-05 with Mathematics categories.
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given.
Novikov Conjectures Index Theorems And Rigidity Volume 1
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Author : Steven C. Ferry
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-23
Novikov Conjectures Index Theorems And Rigidity Volume 1 written by Steven C. Ferry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-23 with Mathematics categories.
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of Novikov's original 1970 statement of his conjecture; an annotated problem list; the texts of several important unpublished classic papers by Milnor, Browder, and Kasparov; and research/survey papers on the Novikov conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki,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.
Novikov Conjectures Index Theorems And Rigidity Volume 1
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Author : Steven C. Ferry
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-23
Novikov Conjectures Index Theorems And Rigidity Volume 1 written by Steven C. Ferry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-23 with Mathematics categories.
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'.
Novikov Conjectures Index Theorems And Rigidity Proceedings Of A Conference Organized At The Mathematisches Forschungs Institut Oberwolfach September 6 10 1993 2
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Author : Steven C. Ferry
language : en
Publisher: Cambridge University Press
Release Date : 1995
Novikov Conjectures Index Theorems And Rigidity Proceedings Of A Conference Organized At The Mathematisches Forschungs Institut Oberwolfach September 6 10 1993 2 written by Steven C. Ferry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Index theorems categories.
Novikov Conjectures Index Theorems And Rigidity Volume 2
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Author : Steven C. Ferry
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-23
Novikov Conjectures Index Theorems And Rigidity Volume 2 written by Steven C. Ferry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-23 with Mathematics categories.
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.
An Etale Approach To The Novikov Conjecture
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Author : A. N. Dranishnikov
language : en
Publisher:
Release Date : 2005
An Etale Approach To The Novikov Conjecture written by A. N. Dranishnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The Hauptvermutung Book
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Author : A.A. Ranicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Hauptvermutung Book written by A.A. Ranicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory led to the disproof of the high-dimensional manifold Hauptvermutung in the late 1960's. Unfortunately, the published record of the manifold Hauptvermutung has been incomplete, as was forcefully pointed out by Novikov in his lecture at the Browder 60th birthday conference held at Princeton in March 1994. This volume brings together the original 1967 papers of Casson and Sulli van, and the 1968/1972 'Princeton notes on the Hauptvermutung' of Armstrong, Rourke and Cooke, making this work physically accessible. These papers include several other results which have become part of the folklore but of which proofs have never been published. My own contribution is intended to serve as an intro duction to the Hauptvermutung, and also to give an account of some more recent developments in the area. In preparing the original papers for publication, only minimal changes of punctuation etc.
Noncommutative Geometry
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Author : Alain Connes
language : en
Publisher: Springer
Release Date : 2003-12-15
Noncommutative Geometry written by Alain Connes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
L2 Invariants Theory And Applications To Geometry And K Theory
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Author : Wolfgang Lück
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
L2 Invariants Theory And Applications To Geometry And K Theory written by Wolfgang Lück and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material.
Novikov Conjectures Index Theorems And Rigidity
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Author : Steven C. Ferry
language : en
Publisher:
Release Date : 1995
Novikov Conjectures Index Theorems And Rigidity written by Steven C. Ferry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Electronic books categories.
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'.