Article contents
LOOP HOMOLOGY AS FIBREWISE HOMOLOGY
Published online by Cambridge University Press: 04 February 2008
Abstract
The loop homology ring of an oriented closed manifold, defined by Chas and Sullivan, is interpreted as a fibrewise homology Pontrjagin ring. The basic structure, particularly the commutativity of the loop multiplication and the homotopy invariance, is explained from the viewpoint of the fibrewise theory, and the definition is extended to arbitrary compact manifolds.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 1 , February 2008 , pp. 27 - 44
- Copyright
- Copyright © Edinburgh Mathematical Society 2008
- 2
- Cited by