Tautological Integrals on Hilbert Schemes of Points on Curves

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.

12 pages. Accepted by Acta Mathematica Sinica, English Series

References in corpus (1)

• Universal Polynomials for Tautological Integrals on Hilbert Schemes

Cited by in corpus (1)

• Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics