Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516323 | Topology | 2005 | 33 Pages |
Abstract
Let M be a closed, oriented and smooth manifold of dimension d. Let LM be the space of smooth loops in M. In [String topology, preprint math.GT/9911159] Chas and Sullivan introduced the loop product, a product of degree -d on the homology of LM. We aim at identifying the three manifolds with “nontrivial” loop product. This is an application of some existing powerful tools in three-dimensional topology such as the prime decomposition, torus decomposition, Seifert fiber space theorem, torus theorem.
Keywords
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Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hossein Abbaspour,