Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.06607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916470540206080 |
|---|---|
| author | Aceto, Paolo Daemi, Aliakbar Hom, Jennifer Lidman, Tye Park, JungHwan |
| author_facet | Aceto, Paolo Daemi, Aliakbar Hom, Jennifer Lidman, Tye Park, JungHwan |
| contents | We prove that there are homology three-spheres that bound definite four-manifolds, but any such bounding four-manifold must be built out of many handles. The argument uses the homology cobordism invariant $Γ$ from instanton Floer homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06607 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Handle decomposition complexity and representation spaces Aceto, Paolo Daemi, Aliakbar Hom, Jennifer Lidman, Tye Park, JungHwan Geometric Topology 57R58, 57K40, 58J28 We prove that there are homology three-spheres that bound definite four-manifolds, but any such bounding four-manifold must be built out of many handles. The argument uses the homology cobordism invariant $Γ$ from instanton Floer homology. |
| title | Handle decomposition complexity and representation spaces |
| topic | Geometric Topology 57R58, 57K40, 58J28 |
| url | https://arxiv.org/abs/2210.06607 |