Ugo Bruzzo - Böcker
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4 produkter
4 produkter
1 891 kr
Skickas inom 10-15 vardagar
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematical physics for at least two centuries. In the last 25 years, the development of gauge theory has been closely related to new generalizations of integral transforms of a more geometric character. "Nahm and Fourier--Mukai Transforms in Geometry and Mathematical Physics" examines the differential-geometric constructions (Nahm) as well as the algebro-geometric approach (Fourier--Mukai functors). Also included is a considerable amount of material scattered in the literature and not systematically organized in any existing textbook or monograph. Key features: * Basic constructions and definitions are presented in preliminary background chapters so that the work is self-contained * Applications are presented * Open questions for graduate students and researchers * Good bibliography and index The book provides an introduction to current research in mathematical physics and is particularly useful to graduate students or researchers just entering this field.
Del 2248 - Lecture Notes in Mathematics
Geometric Representation Theory and Gauge Theory
Cetraro, Italy 2018
Häftad, Engelska, 2019
747 kr
Skickas inom 10-15 vardagar
This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics.
Differential Geometric Methods in Theoretical Physics
Proceedings of the 19th International Conference Held in Rapallo, Italy, 19–24 June 1990
Häftad, Engelska, 2013
535 kr
Skickas inom 10-15 vardagar
Geometry, if understood properly, is still the closest link between mathematics and theoretical physics, even for quantum concepts. In this collection of outstanding survey articles the concept of non-commutation geometry and the idea of quantum groups are discussed from various points of view. Furthermore the reader will find contributions to conformal field theory and to superalgebras and supermanifolds. The book addresses both physicists and mathematicians.
Del 2 - Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
Derived Functors And Sheaf Cohomology
Inbunden, Engelska, 2020
1 238 kr
Skickas inom 3-6 vardagar
The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.