科研之友
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摘要
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) over cap*(X) of spark classes of X is isomorphic to the subring H-D(*) (X, Z(*)) of the orbifold Deligne-Beilinson cohomology ring of X.
