Nilpotent orbits and Hilbert schemes

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dc.creatorJackson, Craig
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:44:04Z
dc.date.available2026-07-07T07:44:04Z
dc.descriptionWe construct embeddings $\mathcal{Y}_{n,τ} \to {Hilb}^n (Σ_τ)$ for each of the classical Lie algebras $\ger{sp}_{2m}(\Cc)$, $\ger{so}_{2m}(\Cc)$, and $\ger{so}_{2m+1}(\Cc)$. The space $\mathcal{Y}_{n,τ}$ is the fiber over a point $τ\in \ger h / W$ of the restriction of the adjoint quotient map $χ: \ger g \to \ger h /W$ to a suitably chosen transverse slice of a nilpotent orbit. These embeddings were discovered for $\ger{sl}_{2m}(\Cc)$ by Ciprian Manolescu. They are related to the symplectic link homology of Seidel and Smith.
dc.identifierhttps://arxiv.org/abs/math/0701909
dc.identifierhttp://arxiv.org/abs/math/0701909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123062
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.titleNilpotent orbits and Hilbert schemes
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