The relation between compact and non-compact equivariant cobordisms
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 1998
- DOI:
- 10.48550/arXiv.math/9810101
- arXiv:
- arXiv:math/9810101
- Bibcode:
- 1998math.....10101G
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Algebraic Topology;
- Mathematics - Symplectic Geometry;
- 53C15;
- 57R85;
- 57R90;
- 58F05
- E-Print:
- Corrections to the proof of the main theorem and the statement of Theorem 4.3