Nicholas Proudfoot
Abstract
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Let T be an algebraic torus acting on a smooth variety V. We study the relationship between the various GIT quotients of V and the symplectic quotient of the cotangent bundle of V.
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Let T be an algebraic torus acting on a smooth variety V. We study the relationship between the various GIT quotients of V and the symplectic quotient of the cotangent bundle of V.
Key concepts: Cotangent bundle, Quotient, Mathematics, Pure mathematics, Variety (cybernetics), Symplectic geometry, Algebraic variety, Torus