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arxiv: math/0411101 · v1 · submitted 2004-11-04 · 🧮 math.AG · math.QA· math.RT

Framed quiver moduli, cohomology, and quantum groups

classification 🧮 math.AG math.QAmath.RT
keywords quiverframedmodulicohomologyquantumconsistingconstructionscycles
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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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