The Szego kernel of a symplectic quotient

Details The Szego kernel of a symplectic quotient The Szego kernel of a symplectic quotient

2004-04-30

arxiv.org/abs/math/0404549v2

Mathematics

Symplectic Geometry

Typos corrected, some improvements in exposition

Scientific paper

Suppose a compact Lie group acts on a polarized complex projective manifold (M,L). Under favorable circumstances, the Hilbert-Mumford quotient for the action of the complexified group may be described as a symplectic quotient (or reduction). This paper addresses some metric questions arising from this identification, by analyzing the relationship between the Szego kernel of the pair (M,L) and that of the quotient.

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