K-polynomials of type A quiver orbit closures and lacing diagrams

Abstract

This article contains an overview of the author's joint work with Allen Knutson and Jenna Rajchgot on $K$-polynomials of orbit closures for type $A$ quivers. It is written to an audience interested in interactions between representations of algebras, algebraic geometry, and commutative algebra. A few open problems resulting from the work are also explained.

16 pages, prepared for the proceedings of ICRA 2016

References in corpus (4)

• On the Cohomological Hall Algebra of Dynkin quivers
• Three combinatorial formulas for type A quiver polynomials and K-polynomials
• Fine and coarse moduli spaces in the representation theory of finite dimensional algebras
• A formula for non-equioriented quiver orbits of type A