Gauge origami and Oh-Thomas virtual cycles

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• Martijn Kool (Universiteit Utrecht)
• Wednesday 19 June 2024, 14:00-15:00
• Seminar Room 1, Newton Institute.

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EMGW05 - Moduli stacks and enumerative geometry

Nekrasov’s 4D ADHM quiver is a generalisation of the 2D and 3D ADHM quivers. I will give a mathematical definition of the corresponding “gauge origami” partition function in terms of certain torus localized Oh-Thomas virtual cycles. I will relate the orientation problem of gauge origami to the one of Hilbert schemes of points on affine 4-space, which was previously analysed in physics by Nekrasov-Piazzalunga (“Magnificent Four”) and in algebraic geometry in a joint work with J. Rennemo. I will provide a conjectural sheaf-theoretic interpretation of gauge origami in terms of certain moduli of 2-dimensional framed sheaves on (P¹⁾4. Joint work in progress with N. Arbesfeld and W. Lim. 

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

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