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arxiv: 0912.1132 · v6 · pith:YYSJODTWnew · submitted 2009-12-06 · 🧮 math.SG · math.AG

Moment maps and geometric invariant theory

classification 🧮 math.SG math.AG
keywords describesinvarianttheoryalgebraicaroundcenteredcommutesconnections
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These lectures centered around the Kempf-Ness theorem, which describes the equivalence between notions of quotient in symplectic and algebraic geometry. The text also describes connections to invariant theory, such existence of invariants in tensor products of simple GL(r)-modules, and Teleman's improved version of quantization commutes with reduction.

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Cited by 2 Pith papers

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    Lectures establish correspondences between SU(N) gauge theories and Calogero-Moser-Sutherland systems via Hamiltonian reduction in low dimensions and supersymmetric dualities with Omega-deformation in four to six dimensions.