Photography principle, data transmission, and invariants of manifolds
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909390126186496 |
|---|---|
| author | Kauffman, L. Manturov, V. O. Nikonov, I. M. Kim, S. |
| author_facet | Kauffman, L. Manturov, V. O. Nikonov, I. M. Kim, S. |
| contents | In the present paper we develop the techniques suggested in \cite{ManturovNikonov} and the photography principle \cite{ManturovWan} for constructing an invariant of 3-manifolds based on Ptolemy relation. We show that a direct implementation of the techniques leads to a trivial invariant and discuss how this approach can be improved to circumvent the difficulties encountered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03437 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Photography principle, data transmission, and invariants of manifolds Kauffman, L. Manturov, V. O. Nikonov, I. M. Kim, S. Geometric Topology 57M25, 57M27, 51A20, 05E14, 14N20, 51M15 In the present paper we develop the techniques suggested in \cite{ManturovNikonov} and the photography principle \cite{ManturovWan} for constructing an invariant of 3-manifolds based on Ptolemy relation. We show that a direct implementation of the techniques leads to a trivial invariant and discuss how this approach can be improved to circumvent the difficulties encountered. |
| title | Photography principle, data transmission, and invariants of manifolds |
| topic | Geometric Topology 57M25, 57M27, 51A20, 05E14, 14N20, 51M15 |
| url | https://arxiv.org/abs/2307.03437 |