Topology of two-row Springer fibers for the even orthogonal and symplectic group

Wilbert, Arik

doi:10.1090/tran/7194

Topology of two-row Springer fibers for the even orthogonal and symplectic group
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by Arik Wilbert PDF

Trans. Amer. Math. Soc. 370 (2018), 2707-2737 Request permission

Abstract:

We define an explicit topological model for every two-row Springer fiber associated with the even orthogonal group and prove that the respective topological model is homeomorphic to its corresponding Springer fiber. This confirms a conjecture by Ehrig and Stroppel concerning the topology of the equal-row Springer fiber for the even orthogonal group. Moreover, we show that every two-row Springer fiber for the symplectic group is homeomorphic (even isomorphic as an algebraic variety) to a connected component of a certain two-row Springer fiber for the even orthogonal group.

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