Topological Aspects of Chow Quotients
نویسنده
چکیده
This paper studies the canonical Chow quotient of a smooth projective variety by a reductive algebraic group. The main observation of this paper is that, over the field of complex numbers, the Chow quotient admits symplectic and other topological interpretations, namely, symplectically, the moduli spaces of stable orbits with prescribed momentum charges; and topologically, the moduli space of stable action-manifolds. In addtion, we give a computable characterization of the Chow cycles of the Chow quotient, using the so-called perturbing-translating-specializing relation.
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