Slices to sums of adjoint orbits, the Atiyah-Hitchin manifold, and Hilbert schemes of points
We show that the regular Slodowy slice to the sum of two semisimple adjoint orbits of GL(n, ℂ) is isomorphic to the deformation of the D2-singularity if n = 2, the Dancer deformation of the double cover of the Atiyah-Hitchin manifold if n = 3, and to the Atiyah-Hitchin manifold itself if n = 4. For...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-02-01
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| Series: | Complex Manifolds |
| Online Access: | https://doi.org/10.1515/coma-2017-0003 |