The relation between compact and non-compact equivariant cobordisms
微分几何
2007-05-23 v2 代数拓扑
辛几何
摘要
We show that the theory of stable complex -cobordisms, for a torus , is embedded into the theory of stable complex -cobordisms of not necessarily compact manifolds equipped with proper abstract moment maps. Thus the introduction of such non-compact cobordisms in the stable complex -cobordism theory does not lead to new relations.
引用
@article{arxiv.math/9810101,
title = {The relation between compact and non-compact equivariant cobordisms},
author = {Viktor L. Ginzburg and Victor L. Guillemin and Yael Karshon},
journal= {arXiv preprint arXiv:math/9810101},
year = {2007}
}
备注
Corrections to the proof of the main theorem and the statement of Theorem 4.3; AMS-LaTeX, 14 pages. Proceedings of the International Workshop on Topology, M. Farber, W. Lueck, and S. Weinberger (Editors); Publ. AMS, Contemporary Math. Series (to appear)