Goldin, RebeccaJohannsen, David Andrew2014-08-282014-08-282013-08https://hdl.handle.net/1920/8786A quotient stack, [Z/G], is a geometric object that models the quotient of a space, Z, by the action of a Lie group, G, while carrying additional structure at the singularities. Quotient stacks generalize toric varieties, and thus constitute a broad and important class of81 pagesenCopyright 2013 David Andrew JohannsenMathematicsOrbifoldQuotient stackSymplectic geometryToric varietyDissertation