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On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes

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arxiv 1801.09090 v1 pith:KNB6JQL5 submitted 2018-01-27 math.AG math-phmath.MP

Jian Zhou This is my paper · ORCID
classification math.AGmath-phmath.MP
keywords equivarianthilbertintersectionnumbersschemesactionsbloch-okounkovcertain
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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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Cited by 2 Pith papers

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  1. Equivariant Chern character operators and Okounkov's conjecture

    math.AG 2025-05 conditional novelty 6.0 of 10

    For k=0,1,2 the equivariant Chern character operators on Hilbert schemes of C^2 match vertex-operator coefficients, giving a partial verification of Okounkov's conjecture and new leading-term formulas.

  2. Multiple q-zeta values and traces

    math.NT 2025-05 conditional novelty 6.0 of 10

    The coefficients of the deformed Bloch-Okunov 1-point function and related products are multiple q-zeta values of matching weight.

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