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arXiv · 1910.03010

Irreducible components of two-row Springer fibers and Nakajima quiver varieties

Mee Seong Im·Chun-Ju Lai·Arik Wilbert
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Abstract

We give an explicit description of the irreducible components of two-row Springer fibers in type A as closed subvarieties in certain Nakajima quiver varieties in terms of quiver representations. By taking invariants under a variety automorphism, we obtain an explicit algebraic description of the irreducible components of two-row Springer fibers of classical type. As a consequence, we discover relations on isotropic flags that describe the irreducible components.

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Mee Seong Im, Chun-Ju Lai, Arik Wilbert. 2019-10-07. Irreducible components of two-row Springer fibers and Nakajima quiver varieties. https://arxiv.org/abs/1910.03010

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