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

By Noah Arbesfeld

Also appears in collection : Symplectic representation theory / Théorie symplectique des représentations

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 generalsurface $S$. In the special case where the surface $S$ is $C^2$, the construction appears in work of Maulik and Okounkov on the quantum cohomology of symplectic resolutions and recovers their $R$-matrix constructed using stable envelopes.

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  • DOI 10.24350/CIRM.V.19513803
  • Cite this video Arbesfeld, Noah (05/04/2019). A geometric $R$-matrix for the Hilbert scheme of points on a general surface. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19513803
  • URL https://dx.doi.org/10.24350/CIRM.V.19513803

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