Download From Quantum Cohomology to Integrable Systems (Oxford by Martin A. Guest PDF

By Martin A. Guest

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

Certain sorts of differential equations (or D-modules) give you the key hyperlinks among quantum cohomology and standard arithmetic; those hyperlinks are the main target of the publication, and quantum cohomology and different integrable PDEs equivalent to the KdV equation and the harmonic map equation are mentioned inside this unified framework.

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

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