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Integrable Systems and Gromov-Witten Theory

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Topics in Cohomological Studies of Algebraic Varieties

Part of the book series: Trends in Mathematics ((TM))

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Abstract

This is an expository paper with an aim of explaining some of the main ideas relating completely integrable systems to Gromov-Witten theory. We give a self-contained introduction to integrable systems and matrix integrals, and their relation to Witten’s original conjecture (Kontsevich’s theorem). The paper ends with a brief discussion of further developments.

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Authors and Affiliations

  1. Dept. of Mathematics, Middle East Technical University, Ankara, 06531, Turkey

    Ali Ulas Ozgur Kisisel

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  1. Ali Ulas Ozgur Kisisel
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  1. Institute of Mathematics of the Polish Academy of Sciences, ul. Sniadeckich 8, P.O. Box 21, 00-956, Warszawa, Poland

    Piotr Pragacz

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Kisisel, A.U.O. (2005). Integrable Systems and Gromov-Witten Theory. In: Pragacz, P. (eds) Topics in Cohomological Studies of Algebraic Varieties. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7342-3_5

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