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.
arXiv Mathematics e-prints
- Pub Date:
- October 1998
- Mathematics - Differential Geometry;
- Mathematics - Algebraic Topology;
- Mathematics - Symplectic Geometry;
- Corrections to the proof of the main theorem and the statement of Theorem 4.3