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Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
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Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
classification
math.AG
hep-thmath.QA
keywords
hilbertschemesequivariantgromov-wittenhierarchiesintersectiontheoryaffine
read the original abstract
Various equivariant intersection numbers on Hilbert schemes of points on the affine plane are computed, some of which are organized into tau-functions of 2-Toda hierarchies. A correspondence between the equivariant intersection on Hilbert schemes and stationary Gromov-Witten theory is established.
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