Spark and Deligne Beilinson cohomology on orbifolds
Abstract A homological spark complex F U E U I U is constructed for any good atlas U of an effective orbifold X X U It is proved that all these homological spark complexes are quasi isomorphic for X Furthermore, smooth Deligne Beilinson cohomology H D p X Z q of X is investigated and it is shown that the ring H X of spark classes of X is isomorphic to the subring H D X Z of the orbifold Deligne Beilinson cohomology ring of X