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Gauge Theory on Compact Surfaces

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 847/5 ( reviews)

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Book Synopsis Gauge Theory on Compact Surfaces by : Ambar Sengupta

Download or read book Gauge Theory on Compact Surfaces written by Ambar Sengupta. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we develop a concrete description of connections on principal bundles, possibly non-trivial, over compact surfaces and use this description to construct the Yang-Mills measure which underlies the Euclidean quantum theory of gauge fields, involving compact gauge groups, on compact connected two-dimensional Riemannian manifolds (possibly with boundary). Using this measure we compute expectation values of important random variables, the Wilson loops variables, corresponding to a broad class of configurations of loops on the surface.

Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces

1990 Mathematics
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Release : 1990
Genre : Mathematics
Kind : eBook
Book Rating : 785/5 ( reviews)

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Book Synopsis Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces by : S. K. Donaldson

Download or read book Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces written by S. K. Donaldson. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: Distinguished researchers reveal the way different subjects (topology, differential and algebraic geometry and mathematical physics) interact in a text based on LMS Durham Symposium Lectures.

Gauge Theory and the Topology of Four-Manifolds

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 916/5 ( reviews)

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Book Synopsis Gauge Theory and the Topology of Four-Manifolds by : Robert Friedman

Download or read book Gauge Theory and the Topology of Four-Manifolds written by Robert Friedman. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This text is part of the IAS/Park City Mathematics series and focuses on gauge theory and the topology of four-manifolds.

Yang-Mills Measure on Compact Surfaces

2014-09-11 Quantum field theory
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Release : 2014-09-11
Genre : Quantum field theory
Kind : eBook
Book Rating : 881/5 ( reviews)

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Book Synopsis Yang-Mills Measure on Compact Surfaces by : Thierry Lévy

Download or read book Yang-Mills Measure on Compact Surfaces written by Thierry Lévy. This book was released on 2014-09-11. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Yang-Mills measure Continuous Yang-Mills measure Abelian gauge theory Small scale structure in the semi-simple case Surgery of the Yang-Mills measure Bibliography.

Compact Complex Surfaces

2015-05-22 Mathematics
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Release : 2015-05-22
Genre : Mathematics
Kind : eBook
Book Rating : 393/5 ( reviews)

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Book Synopsis Compact Complex Surfaces by : W. Barth

Download or read book Compact Complex Surfaces written by W. Barth. This book was released on 2015-05-22. Available in PDF, EPUB and Kindle. Book excerpt: In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.

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