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A geometric R-matrix for the Hilbert scheme of points on a general surface

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Arbesfeld, Noah

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A geometric R-matrix for the Hilbert scheme of points on a general surface
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19
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We explain how to use a Virasoro algebra to construct a solution to the Yang- Baxter equation acting in the tensor square of the cohomology of the Hilbert scheme of points on a general surface S. In the special case where the surface Sis C2, the construction appears in work of Maulik and Okounkov on the quantum cohomology of symplectic resolutions and recovers their R-matrix constructed usings table envelopes.