Moment maps and geometric invariant theory

2009/12/06 by Woodward, Christopher T. · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0912.1132

Abstract

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.

Cited by

• A categorical perspective on non-abelian localization

Related

• The Kempf-Ness theorem and Invariant Theory
• Towards the affine and geometric invariant theory quotients of the Borel moment map
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• Lectures on the classical moment problem and its noncommutative generalization
• A moment map interpretation of the Ricci form, Kähler--Einstein structures, and Teichmüller spaces