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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
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Book Rating : 501/5 ( reviews)

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Book Synopsis Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 by : Robion C. Kirby

Download or read book Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 written by Robion C. Kirby. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.

Generalized Feynman Amplitudes. (AM-62), Volume 62

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Generalized Feynman Amplitudes. (AM-62), Volume 62 by : Eugene R. Speer

Download or read book Generalized Feynman Amplitudes. (AM-62), Volume 62 written by Eugene R. Speer. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

Generalized Feynman amplitudes

Biography & Autobiography
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Genre : Biography & Autobiography
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Book Rating : 325/5 ( reviews)

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Book Synopsis Generalized Feynman amplitudes by : Eugene R. Speer

Download or read book Generalized Feynman amplitudes written by Eugene R. Speer. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Loop Spaces (AM-90), Volume 90

1978-09-01 Mathematics
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Release : 1978-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 258/5 ( reviews)

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Book Synopsis Infinite Loop Spaces (AM-90), Volume 90 by : John Frank Adams

Download or read book Infinite Loop Spaces (AM-90), Volume 90 written by John Frank Adams. This book was released on 1978-09-01. Available in PDF, EPUB and Kindle. Book excerpt: The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.

Anti-Differentiation and the Calculation of Feynman Amplitudes

2021-11-26 Science
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Release : 2021-11-26
Genre : Science
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Book Rating : 191/5 ( reviews)

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Book Synopsis Anti-Differentiation and the Calculation of Feynman Amplitudes by : Johannes Blümlein

Download or read book Anti-Differentiation and the Calculation of Feynman Amplitudes written by Johannes Blümlein. This book was released on 2021-11-26. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.

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