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Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces (chapters I, II, III)

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Release : 1996
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Book Synopsis Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces (chapters I, II, III) by : Yu. I. Manin

Download or read book Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces (chapters I, II, III) written by Yu. I. Manin. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces

Download Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces PDF Online Free

Author :
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 178/5 ( reviews)

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Book Synopsis Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces by : I︠U︡. I. Manin

Download or read book Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces written by I︠U︡. I. Manin. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quantum cohomology is based on the notion of the Frobenius manifold. The first part of the book is devoted to this notion and its extensive interconnections with algebraic formalism of operads, differential equations, perturbations, and geometry. In the second part of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this construction (intersection and deformation theory of Deligne-Artin and Mumford stacks). Yuri Manin is currently the director of the Max-Planck-Institut für Mathematik in Bonn, Germany. He has authored and coauthored 10 monographs and almost 200 research articles in algebraic geometry, number theory, mathematical physics, history of culture, and psycholinguistics. Manin's books, such as Cubic Forms: Algebra, Geometry, and Arithmetic (1974), A Course in Mathematical Logic (1977), Gauge Field Theory and Complex Geometry (1988), Elementary Particles: Mathematics, Physics and Philosophy (1989, with I. Yu. Kobzarev), Topics in Non-commutative Geometry (1991), and Methods of Homological Algebra (1996, with S. I. Gelfand), secured for him solid recognition as an excellent expositor. Undoubtedly the present book will serve mathematicians for many years to come.

The Geometry of Moduli Spaces of Pointed Curves, the Tensor Product in the Theory of Frobenius Manifolds and the Explicit Künneth Formula in Quantum Cohomology

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Release : 1998
Genre : Curves
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Book Synopsis The Geometry of Moduli Spaces of Pointed Curves, the Tensor Product in the Theory of Frobenius Manifolds and the Explicit Künneth Formula in Quantum Cohomology by : Ralph M. Kaufmann

Download or read book The Geometry of Moduli Spaces of Pointed Curves, the Tensor Product in the Theory of Frobenius Manifolds and the Explicit Künneth Formula in Quantum Cohomology written by Ralph M. Kaufmann. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Field Theory III: Gauge Theory

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Release : 2011-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 210/5 ( reviews)

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Book Synopsis Quantum Field Theory III: Gauge Theory by : Eberhard Zeidler

Download or read book Quantum Field Theory III: Gauge Theory written by Eberhard Zeidler. This book was released on 2011-08-17. Available in PDF, EPUB and Kindle. Book excerpt: In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

Current Developments in Mathematics

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Author :
Release : 1998
Genre : Mathematics
Kind : eBook
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Book Synopsis Current Developments in Mathematics by :

Download or read book Current Developments in Mathematics written by . This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

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