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Refined sheaf counting on local K3 surfaces

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EMGW05 - Moduli stacks and enumerative geometry

I will sketch a computation of all “Nekrasov-Okounkov-refined” sheaf counting invariants of K3×ℂ, focussing on giving introductions to the main tools: wall-crossing, multiple cover formulae, vanishing theorems and tautological integrals on Hilbert schemes.

This talk is part of the Isaac Newton Institute Seminar Series series.

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