K-Theory of Hilbert Schemes as a Formal Quantum Field Theory
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🧮 math.AG
math-phmath.ATmath.MP
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fieldformalhilbertquantumschemestheoryintersectionk-theoretical
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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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