On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes
classification
🧮 math.AG
math-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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