Tautological Integrals on Hilbert Schemes of Points on Curves

Zhilan Wang

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arXiv · 1506.08405

Tautological Integrals on Hilbert Schemes of Points on Curves

Zhilan Wang

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Abstract

We propose a conjecture on the generating series of Chern numbers of tautological bundles on Hilbert schemes of points on curves and establish the rank 1 and rank -1 case of this conjecture. Thus we compute explicitly the generating series of integrals of the Segre classes of tautological bundles of line bundles on curves, which has a similar structure as Lehn's conjecture for surfaces.

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Zhilan Wang. 2015-06-28. Tautological Integrals on Hilbert Schemes of Points on Curves. https://arxiv.org/abs/1506.08405

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