Duality for topological abelian group stacks and <var>T</var>-duality
Duality for topological abelian group stacks and <var>T</var>-duality
We extend Pontrjagin duality from topological abelian groups to certain locally compact group stacks. To this end we develop a sheaf theory on the big site of topological spaces S in order to prove that the sheaves ExtiShAbS(G,T), i = 1, 2, vanish, where G is the sheaf represented by …