On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes

2018/01/27 by Jian Zhou, Zhou, Jian · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1801.09090

openalex publication_date 2018/01/27 · openalex created_date 2018/02/23 · openalex updated_date 2026/07/28

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.

Cited by

• K-Theory of Hilbert Schemes as a Formal Quantum Field Theory
• Equivariant Chern character operators and Okounkov's conjecture
• Multiple q-zeta values and traces

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• Tautological integrals on Hilbert scheme of points I