Global Analysis On Foliated Spaces

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Global Analysis On Foliated Spaces

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Author : Calvin C. Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Global Analysis On Foliated Spaces written by Calvin C. Moore 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 2012-12-06 with Mathematics categories.

Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. The typical setting here is given by a family of elliptic operators (Pb) on the total space of a fibre bundle P = F_M_B. where is defined the Hilbert space on Pb 2 L 1p -llbl.dvollFll. In this case there is an abstract index class indlPI E ROIBI. Once the problem is properly formulated it turns out that no further deep analvtic information is needed in order to identify the class. These theorems and their equivariant counterparts have been enormously useful in topology. geometry. physics. and in representation theory.

Global Analysis On Foliated Spaces

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Author : Calvin C. Moore
language : en
Publisher:
Release Date : 2014-05-14

Global Analysis On Foliated Spaces written by Calvin C. Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

This book presents a complete proof of Connes' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

Global Analysis On Foliated Spaces

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Author : Calvin C. Moore
language : en
Publisher: Cambridge University Press
Release Date : 2006

Global Analysis On Foliated Spaces written by Calvin C. Moore 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 2006 with Mathematics categories.

This book presents a complete proof of Connes' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

Current Developments In Algebraic Geometry

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Author : Lucia Caporaso
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-19

Current Developments In Algebraic Geometry written by Lucia Caporaso 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 2012-03-19 with Mathematics categories.

This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

Noncommutative Algebraic Geometry

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Author : Gwyn Bellamy
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-20

Noncommutative Algebraic Geometry written by Gwyn Bellamy 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 2016-06-20 with Mathematics categories.

This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Thin Groups And Superstrong Approximation

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Author : Emmanuel Breuillard
language : en
Publisher: Cambridge University Press
Release Date : 2014-02-17

Thin Groups And Superstrong Approximation written by Emmanuel Breuillard 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 2014-02-17 with Mathematics categories.

This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.

Commutative Algebra And Noncommutative Algebraic Geometry

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Author : David Eisenbud
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-19

Commutative Algebra And Noncommutative Algebraic Geometry written by David Eisenbud 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 2015-11-19 with Mathematics categories.

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 2 focuses on the most recent research.

Inverse Problems And Applications

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Author : Gunther Uhlmann
language : en
Publisher: Cambridge University Press
Release Date : 2013

Inverse Problems And Applications written by Gunther Uhlmann 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 2013 with Mathematics categories.

Inverse problems lie at the heart of contemporary scientific inquiry and technological development. Applications include a variety of medical and other imaging techniques, which are used for early detection of cancer and pulmonary edema, location of oil and mineral deposits in the Earth's interior, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modeling in the life sciences among others. The expository survey essays in this book describe recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology and oil exploration, inverse spectral problems, and the study of asymptotically hyperbolic spaces. It is suitable for graduate students and researchers interested in inverse problems and their applications.

Games Of No Chance 5

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Author : Urban Larsson
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Games Of No Chance 5 written by Urban Larsson 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 2019-05-09 with Computers categories.

Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.

Symplectic Poisson And Noncommutative Geometry

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Author : Tohru Eguchi
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-25

Symplectic Poisson And Noncommutative Geometry written by Tohru Eguchi 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 2014-08-25 with Mathematics categories.

This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.