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arXiv · 1801.09090

On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes

Jian Zhou
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Abstract

We observe that certain equivariant intersection numbers of Chern characters of tautological sheaves on Hilbert schemes for suitable circle actions can be computed using the Bloch-Okounkov formula, hence they are related to Gromov-Witten invariants of elliptic curves and its operator formalism in terms of operators on the Fock space.

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Jian Zhou. 2018-01-27. On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes. https://arxiv.org/abs/1801.09090

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