Hilbert schemes, integrable hierarchies, and Gromov-Witten theory

2003/02/18 by Wei-Ping Li, Zhenbo Qin, Weiqiang Wang · 2 citations
Mathematics · Physics and Astronomy · #math.AG #hep-th #math.QA

paper · pdf

published as Internat. Math. Res. Notices 40 (2004), 2085--2104. · latex, 17 pages

arxiv created 2003/02/18 · arxiv updated 2009/11/30

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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• Multiple q-zeta values and traces

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