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

On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes