Nilpotent slices and Hilbert schemes
نویسندگان
چکیده
We construct embeddings Yn,τ → Hilb (Στ ) for each of the classical Lie algebras sp2m(C), so2m(C), and so2m+1(C). The space Yn,τ is the fiber over a point τ ∈ h/W of the restriction of the adjoint quotient map χ : g → h/W to a suitably chosen transverse slice of a nilpotent orbit. These embeddings were discovered for sl2m(C) by Ciprian Manolescu. They are related to the symplectic link homology of Seidel and Smith.
منابع مشابه
Nilpotent Slices, Hilbert Schemes, and the Jones Polynomial
Seidel and Smith have constructed an invariant of links as the Floer cohomology for two Lagrangians inside a complex affine variety Y. This variety is the intersection of a semisimple orbit with a transverse slice at a nilpotent in the Lie algebra sl2m. We exhibit bijections between a set of generators for the Seidel-Smith cochain complex, the generators in Bigelow’s picture of the Jones polyno...
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