2019/01/28 by Ryan Kinser, Kinser, Ryan, Jenna Rajchgot +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1901.10014
openalex publication_date 2019/01/28 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28
We unify aspects of the equivariant geometry of type D quiver\nrepresentation varieties, double Grassmannians, and symmetric varieties\nGL(a+b)/GL(a)\× GL(b); in particular we translate results about\nsingularities of orbit closures, combinatorics of orbit closure containment,\nand torus equivariant K-theory between these three families. These results\nare all obtained from our generalization of a construction of Zelevinsky for\ntype A quivers to the type D setting. More precisely, we give explicit\nembeddings with nice properties of homogeneous fiber bundles over type D\nquiver representation varieties into these symmetric varieties.\n