Topological Methods in Algebraic Geometry PDF Download
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Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241
Get Book Here
Book Description
Author: G. Giachetta
Publisher: World Scientific
ISBN: 9812701265
Category : Science
Languages : en
Pages : 715
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Book Description
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Author: L.F. McAuley
Publisher: Springer
ISBN: 3540373004
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Author: L. F. McAuley
Publisher:
ISBN: 9783662193242
Category :
Languages : en
Pages : 300
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Book Description
Author: Louis F. MacAuley
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: M. Karoubi
Publisher: Cambridge University Press
ISBN: 9780521317146
Category : Mathematics
Languages : en
Pages : 380
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Book Description
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.
Author: W. V. D. Hodge
Publisher: Cambridge University Press
ISBN: 9780521469005
Category : Mathematics
Languages : en
Pages : 454
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Book Description
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.
Author: Luigi Mangiarotti
Publisher: World Scientific
ISBN: 9814481149
Category : Science
Languages : en
Pages : 715
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Book Description
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Author: Hernan Ocampo
Publisher: Cambridge University Press
ISBN: 113948673X
Category : Science
Languages : en
Pages : 435
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Book Description
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.
Author: Friedrich Hirzebruch
Publisher: Ergebnisse der Mathematik Und
ISBN:
Category : Mathematics
Languages : en
Pages : 254
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Book Description
