Paper  doi  abstract   bibtex   

@article{karshon_moment_1993,
	title = {The moment map and line bundles over presymplectic toric manifolds},
	volume = {38},
	issn = {0022-040X},
	url = {http://projecteuclid.org/euclid.jdg/1214454478},
	doi = {10.4310/jdg/1214454478},
	abstract = {We apply symplectic methods in studying smooth toric varieties with a closed, invariant 2-form ω that may have degeneracies. Consider the push-forward of Liouville measure by the moment map. We show that it is a "twisted polytope" in t* which is determined by the winding numbers of a map Sn{\textasciitilde} —{\textgreater} t* around points in t* . The index of an equivariant, holomorphic line-bundle with curvature ω is a virtual Trepresentation which can easily be read from this "twisted polytope".},
	language = {en},
	number = {3},
	urldate = {2019-08-07},
	journal = {Journal of Differential Geometry},
	author = {Karshon, Yael and Tolman, Susan},
	year = {1993},
	pages = {465--484}
}