Oriented orbifold cobordism (Q1328998)

A complete set of invariants (generalized Pontryagin numbers) for rational oriented orbifold cobordism is determined. Using these numbers we prove that for any odd dimensional oriented orbifold \(Q\) there is a nonzero multiple of \(Q\) which bounds another orbifold and that, unlike the manifold case, this need not be true for \(4k+2\) dimensional orbifolds. In addition we construct generators for the rational orbifold cobordism ring and show that it is a free commutative ring on these.