Free actions and complex cobordism
Abstract: Connor and Floyd have observed that a free action of a finite group on a compact manifold preserving a stable almost complex structure produces a stably almost complex quotient manifold . Hence, the bordism group of such actions, , is just . If is not finite or abelian, but an arbitrary compact Lie group, the tangent bundle along the fibres gives trouble. Nevertheless, it is shown that if is torsion free then .
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