Momentum maps and reduction in algebraic geometry. Kirwan, F. *Differential Geometry and its Applications*, 9(1-2):135–171, August, 1998. Paper doi abstract bibtex This survey article discusses how the geometry and topology of symplectic reductions at coadjoint orbits vary as the orbit varies, and what happens when the symplectic reductions acquire singularities, with applications including moduli spaces in algebraic geometry.

@article{kirwan_momentum_1998,
title = {Momentum maps and reduction in algebraic geometry},
volume = {9},
issn = {09262245},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0926224598000205},
doi = {10.1016/S0926-2245(98)00020-5},
abstract = {This survey article discusses how the geometry and topology of symplectic reductions at coadjoint orbits vary as the orbit varies, and what happens when the symplectic reductions acquire singularities, with applications including moduli spaces in algebraic geometry.},
language = {en},
number = {1-2},
urldate = {2019-01-30},
journal = {Differential Geometry and its Applications},
author = {Kirwan, Frances},
month = aug,
year = {1998},
keywords = {Symplectic geometry, moduli space, momentum map, reduction},
pages = {135--171}
}

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