Borodzik, M. and Powell, M. (2016) Embedded Morse theory and relative splitting of cobordisms of manifolds. Journal of Geometric Analysis, 26(1), pp. 57-87. (doi: 10.1007/s12220-014-9538-6)
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Abstract
We prove that an embedded cobordism between manifolds with boundary can be split into a sequence of right product and left product cobordisms, if the codimension of the embedding is at least two. This is a topological counterpart of the algebraic splitting theorem for embedded cobordisms of the first author, A. Némethi and A. Ranicki. In the codimension one case, we provide a slightly weaker statement. We also give proofs of rearrangement and cancellation theorems for handles of embedded submanifolds with boundary.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Dr Mark |
| Authors: | Borodzik, M., and Powell, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Geometric Analysis |
| Publisher: | Springer |
| ISSN: | 1050-6926 |
| ISSN (Online): | 1559-002X |
| Published Online: | 04 September 2014 |
| Related URLs: |
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