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 PDF Download
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Author: Ralph M. Kaufmann
Publisher:
ISBN:
Category :
Languages : de
Pages : 95
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Book Description
Author: Ralph M. Kaufmann
Publisher:
ISBN:
Category :
Languages : de
Pages : 95
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Author: Ralph M. Kaufmann
Publisher:
ISBN:
Category : Curves
Languages : en
Pages : 106
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Author: I︠U︡. I. Manin
Publisher: American Mathematical Soc.
ISBN: 0821819178
Category : Mathematics
Languages : en
Pages : 321
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Book Description
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.
Author: Robert Conte
Publisher: Springer Science & Business Media
ISBN: 1461215323
Category : Science
Languages : en
Pages : 828
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Book Description
The subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local. Explicit integration is based on the powerful methods based on an in-depth study of singularities, that were first used by Poincar and subsequently developed by Painlev in his famous Leons de Stockholm of 1895. The recent interest in the subject and in the equations investigated by Painlev dates back about thirty years ago, arising from three, apparently disjoint, fields: the Ising model of statistical physics and field theory, propagation of solitons, and dynamical systems. The chapters in this volume, based on courses given at Cargse 1998, alternate mathematics and physics; they are intended to bring researchers entering the field to the level of present research.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1296
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Author: Michael Francis Atiyah
Publisher: American Mathematical Society(RI)
ISBN:
Category : Mathematics
Languages : en
Pages : 416
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A concis, yet comprehensive introduction to the contemporary politics of Latin America, this book focuses on the enduring difficulties of achieving democratic stability. It explores the conduct of government through classic concepts like authority, accountability, and participation. These themes are developed within a comparative perspective.
Author: I͡U. I. Manin
Publisher: American Mathematical Soc.
ISBN: 9780821874752
Category : Mathematics
Languages : en
Pages : 330
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 616
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384
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Author: Claus Hertling
Publisher: Springer Science & Business Media
ISBN: 3322802361
Category : Mathematics
Languages : en
Pages : 384
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Book Description
Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in Bonn, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject.
