On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes
Algebraic Geometry
2018-01-30 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1801.09090,
title = {On Quasimodularity of Some Equivariant Intersection Numbers on the Hilbert Schemes},
author = {Jian Zhou},
journal= {arXiv preprint arXiv:1801.09090},
year = {2018}
}