Hilbert schemes, integrable hierarchies, and Gromov-Witten theory

Details Hilbert schemes, integrable hierarchies, and Gromov-Witten theory Hilbert schemes, integrable hierarchies, and Gromov-Witten theory

2003-02-18

arxiv.org/abs/math/0302211v1

Internat. Math. Res. Notices 40 (2004), 2085--2104.

Mathematics

Algebraic Geometry

latex, 17 pages

Scientific paper

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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