Kirby diagrams, trisections and gems of PL 4-manifolds: relationships, results and open problems
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914319901392896 |
|---|---|
| author | Casali, Maria Rita Cristofori, Paola |
| author_facet | Casali, Maria Rita Cristofori, Paola |
| contents | We review the main achievements regarding the interactions between gem theory (which makes use of edge-colored graphs to represent PL-manifolds of arbitrary dimension) and both the classical representation of PL 4-manifolds via Kirby diagrams and the more recent one via trisections. Original results also appear (in particular, about gems representing closed 4-manifolds which need 3-handles in their handle decomposition, as well as about trisection diagrams), together with open problems and further possible applications to the study of compact PL 4-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kirby diagrams, trisections and gems of PL 4-manifolds: relationships, results and open problems Casali, Maria Rita Cristofori, Paola Geometric Topology 57Q15 - 57K40 - 57M15 We review the main achievements regarding the interactions between gem theory (which makes use of edge-colored graphs to represent PL-manifolds of arbitrary dimension) and both the classical representation of PL 4-manifolds via Kirby diagrams and the more recent one via trisections. Original results also appear (in particular, about gems representing closed 4-manifolds which need 3-handles in their handle decomposition, as well as about trisection diagrams), together with open problems and further possible applications to the study of compact PL 4-manifolds. |
| title | Kirby diagrams, trisections and gems of PL 4-manifolds: relationships, results and open problems |
| topic | Geometric Topology 57Q15 - 57K40 - 57M15 |
| url | https://arxiv.org/abs/2502.01757 |