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arXiv · 1803.06080

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

Jian Zhou
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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.

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Jian Zhou. 2018-03-16. K-Theory of Hilbert Schemes as a Formal Quantum Field Theory. https://arxiv.org/abs/1803.06080

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