From quantum cohomology to integrable systems

Preface; Acknowledgements; Contents; Introduction; 1 The many faces of cohomology; 2 Quantum cohomology; 3 Quantum differential equations; 4 Linear differential equations in general; 5 The quantum D-module; 6 Abstract quantum cohomology; 7 Integrable systems; 8 Solving integrable systems; 9 Quantum cohomology as an integrable system; 10 Integrable systems and quantum cohomology; References; Index;
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. - ;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 connectio.