K-Theory of Hilbert Schemes as a Formal Quantum Field Theory
Algebraic Geometry
2018-03-19 v1 Mathematical Physics
Algebraic Topology
math.MP
Abstract
We define a notion of formal quantum field theory and associate a formal quantum field theory to K-theoretical intersection theories on Hilbert schemes of points on algebraic surfaces. This enables us to find an effective way to compute K-theoretical intersection theories on Hilbert schemes via a connection to Macdonald polynomials and vertex operators.
Keywords
Cite
@article{arxiv.1803.06080,
title = {K-Theory of Hilbert Schemes as a Formal Quantum Field Theory},
author = {Jian Zhou},
journal= {arXiv preprint arXiv:1803.06080},
year = {2018}
}