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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

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


Author: Arik Wilbert
Journal: Trans. Amer. Math. Soc. 370 (2018), 2707-2737
MSC (2010): Primary 14M15; Secondary 05E10, 17B08, 20C08
DOI: https://doi.org/10.1090/tran/7194
Published electronically: September 15, 2017
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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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Additional Information

Arik Wilbert
Affiliation: Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany
Email: wilbert@math.uni-bonn.de

DOI: https://doi.org/10.1090/tran/7194
Received by editor(s): March 13, 2016
Received by editor(s) in revised form: October 17, 2016
Published electronically: September 15, 2017
Additional Notes: This research was funded by a Hausdorff scholarship of the Bonn International Graduate School in Mathematics
Article copyright: © Copyright 2017 American Mathematical Society

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