Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903963 | Topology and its Applications | 2018 | 32 Pages |
Abstract
We construct an obstruction to the existence of embeddings of a homology 3-sphere into a homology S3ÃS1 under some cohomological condition. The obstruction is defined as an element in the filtered version of the instanton Floer cohomology due to Fintushel and Stern. We make use of the Z-fold covering space of homology S3ÃS1 and the instantons on it.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Masaki Taniguchi,