New PDF release: From Quantum Cohomology to Integrable Systems (Oxford

By Martin A. Guest

ISBN-10: 0198565992

ISBN-13: 9780198565994

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, yet is deeply on the topic of differential equations and integrable structures. this article explains what's at the back of the intense good fortune of quantum cohomology, resulting in its connections with many latest parts of arithmetic in addition to its visual appeal in new components reminiscent of reflect symmetry.

Certain forms of differential equations (or D-modules) give you the key hyperlinks among quantum cohomology and conventional arithmetic; those hyperlinks are the focus of the ebook, and quantum cohomology and different integrable PDEs corresponding to the KdV equation and the harmonic map equation are mentioned inside of this unified framework.

Aimed at graduate scholars in arithmetic who are looking to find out about quantum cohomology in a huge context, and theoretical physicists who're drawn to the mathematical environment, the textual content assumes uncomplicated familiarity with differential equations and cohomology.

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From Quantum Cohomology to Integrable Systems (Oxford Graduate Texts in Mathematics) by Martin A. Guest


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