Framed quiver moduli, cohomology, and quantum groups
Markus Reineke
TL;DR
This paper studies the geometric and cohomological properties of framed quiver moduli for acyclic quivers and explores their applications in constructing quantum groups.
Contribution
It provides explicit descriptions of framed quiver moduli and their cohomology, and discusses their role in quantum group constructions.
Findings
Explicit realizations of framed quiver moduli for acyclic quivers
Analysis of their cohomology properties
Application to quantum group construction
Abstract
Framed quiver moduli parametrize stable pairs consisting of a quiver representation and a map to a fixed graded vector space. Geometric properties and explicit realizations of framed quiver moduli for quivers without oriented cycles are derived, with emphasis on their cohomology. Their use for quantum group constructions is discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Topics in Algebra