Mirror Symmetry And Quantum Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, ICM 2002 at Beijin

Scientific paper

Recently, mirror symmetry is derived as T-duality applied to gauge systems that flow to non-linear sigma models. We present some of its applications to study quantum geometry involving D-branes. In particular, we show that one can employ D-branes wrapped on torus fibers to reproduce the mirror duality itself, realizing the program of Strominger-Yau-Zaslow in a slightly different context. Floer theory of intersecting Lagrangians plays an essential role.

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