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

Authors
  • Wilbert, Arik
Type
Preprint
Publication Date
Nov 05, 2015
Submission Date
Nov 05, 2015
Identifiers
arXiv ID: 1511.01961
Source
arXiv
License
Yellow
External links

Abstract

We construct an explicit topological model (similar to the topological Springer fibers appearing in work of Khovanov and Russell) 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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