Connected Sum Decompositions of High-Dimensional Manifolds
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.
| Original language | English |
|---|---|
| Title of host publication | 2019-20 MATRIX Annals |
| Publisher | Springer |
| Publication date | 2021 |
| Pages | 5-30 |
| ISBN (Print) | 978-3-030-62496-5 |
| ISBN (Electronic) | 978-3-030-62497-2 |
| DOIs | |
| Publication status | Published - 2021 |
| Series | MATRIX Book Series |
|---|---|
| Volume | 4 |
| ISSN | 2523-3041 |
Links
- https://arxiv.org/pdf/1909.02628.pdf
Submitted manuscript
ID: 301633391