Journal article
Type D quiver representation varieties, double Grassmannians, and symmetric varieties
Advances in mathematics (New York. 1965), Vol.376, 107454
01/06/2021
DOI: 10.1016/j.aim.2020.107454
Abstract
We unify aspects of the equivariant geometry of type D quiver representation varieties, double Grassmannians, and symmetric varieties GL(a+b)/GL(a)×GL(b); in particular we translate results about singularities of orbit closures, combinatorics of orbit closure containment, and torus equivariant K-theory between these three families. These results are all obtained from our generalization of a construction of Zelevinsky for type A quivers to the type D setting. More precisely, we give explicit embeddings with nice properties of homogeneous fiber bundles over type D quiver representation varieties into these symmetric varieties.
Details
- Title: Subtitle
- Type D quiver representation varieties, double Grassmannians, and symmetric varieties
- Creators
- Ryan Kinser - University of IowaJenna Rajchgot - McMaster University
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.376, 107454
- DOI
- 10.1016/j.aim.2020.107454
- ISSN
- 0001-8708
- eISSN
- 1090-2082
- Publisher
- Elsevier Inc
- Grant note
- RGPIN-2017-05732 / NSERC (https://doi.org/10.13039/501100000038) 636534 / Simons Foundation (https://doi.org/10.13039/100000893)
- Language
- English
- Date published
- 01/06/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241160102771
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