The relation between compact and non-compact equivariant cobordisms

Mathematics – Differential Geometry

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Corrections to the proof of the main theorem and the statement of Theorem 4.3; AMS-LaTeX, 14 pages. Proceedings of the Interna

Scientific paper

We show that the theory of stable complex $G$-cobordisms, for a torus $G$, is
embedded into the theory of stable complex $G$-cobordisms of not necessarily
compact manifolds equipped with proper abstract moment maps. Thus the
introduction of such non-compact cobordisms in the stable complex $G$-cobordism
theory does not lead to new relations.

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