Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bundles over nested Hilbert schemes of points on the affine plane.
Advances in Mathematics , volume =
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Derives the tangent space as a compatibility kernel and a modified arm-leg weight formula at torus-fixed points of (A^2)^[n,n+1] indexed by partitions with removable corners, with Macaulay2 checks up to size 16.
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Defects, nested instantons and comet shaped quivers
Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bundles over nested Hilbert schemes of points on the affine plane.
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Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points
Derives the tangent space as a compatibility kernel and a modified arm-leg weight formula at torus-fixed points of (A^2)^[n,n+1] indexed by partitions with removable corners, with Macaulay2 checks up to size 16.