Framed quiver moduli, cohomology, and quantum groups

Mathematics – Algebraic Geometry

Scientific paper

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26 pages

Scientific paper

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.

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