Fundamental and deep connections have been developed in recent years between the geometry of Hilbert schemes X [n] of points on a (quasi-)projective surface X and combinatorics of symmetricâ€¦ (More)

Various equivariant intersection numbers on Hilbert schemes of points on the affine plane are computed, some of which are organized into Ï„ -functions of 2-Toda hierarchies. A correspondence betweenâ€¦ (More)

Using the methods developed in [LQW], we obtain a second set of generators for the cohomology ring of the Hilbert scheme of points on an arbitrary smooth projective surface X over the field ofâ€¦ (More)

Using obstruction bundles, composition law and localization formula, we compute certain 3-point genus-0 Gromov-Witten invariants of the Hilbert scheme of 3-points on the complex projective plane. Ourâ€¦ (More)

Recently there is a surge of research interest in the construction of stable vector bundles on Calabi-Yau manifolds motivated by questions from string theory. An interesting aspect of the moduliâ€¦ (More)

Abstract. Given an algebraic surface X, the Hilbert scheme X[n] of n-points on X admits a contraction morphism to the n-fold symmetric product X(n) with the extremal ray generated by a class Î²n of aâ€¦ (More)

Fundamental and deep connections have been developed in recent years between the geometry of Hilbert schemes X [n] of points on a (quasi-)projective surface X and combinatorics of symmetricâ€¦ (More)

Let S be the affine plane C together with an appropriate T = Câˆ— action. Let S be the incidence Hilbert scheme. Parallel to [LQ], we construct an infinite dimensional Lie algebra that acts on theâ€¦ (More)

The Gieseker-Uhlenbeck morphism maps the Gieseker moduli space of stable rank-2 sheaves on a smooth projective surface to the Uhlenbeck compactification and is a generalization of the Hilbert-Chowâ€¦ (More)