K-Theory of Hilbert Schemes as a Formal Quantum Field Theory

Jian Zhou Tsinghua University

Algebraic Geometry mathscidoc:1808.01003

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.
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@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.
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