FROM QUANTUM COHOMOLOGY TO INTEGRABLE SYSTEMS by Martin A. Guest ( 9780198565994 )

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Title:

FROM QUANTUM COHOMOLOGY TO INTEGRABLE SYSTEMS

By:

Martin A. Guest

Format:

Hardback

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ISBN 10:

0198565992

ISBN 13:

9780198565994

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Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

13 March, 2008

Series:

Oxford Graduate Texts in Mathematics 15

Pages:

322

Description:

This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology.

Synopsis:

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.

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Imprint:

Oxford University Press

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Returnable

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