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In three dimensions, an abelian gauge field is related by duality to a free,periodic scalar field. Though usually considered on Euclidean space, thisduality can be extended to a general three-manifold M, in which casetopological features of M become important. Here I comment upon several ofthese features as related to the partition function on M. In a companionarticle, arXiv:1405.2483, I discuss similarly the algebra of operators on asurface of genus g.

Global Aspects of Abelian Duality in Dimension Three