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.
@inproceedings{jiank-theory,
title={K-Theory of Hilbert Schemes as a Formal Quantum Field Theory},
author={Jian Zhou},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180806172033584725130},
}
Jian Zhou. K-Theory of Hilbert Schemes as a Formal Quantum Field Theory. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180806172033584725130.