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arxiv: 1312.1499 · v2 · pith:6SZTILV3new · submitted 2013-12-05 · 🧮 math.RT · math.AG

On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules

classification 🧮 math.RT math.AG
keywords hilbertnon-commutativeschemescohomologyalgebrabasisbundlecertain
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We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the cohomology of non-commutative Hilbert schemes as a module over the Cohomological Hall algebra.

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