| Texto completo | |
| Autor(es): |
Siejakowski, Rafal
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | TOHOKU MATHEMATICAL JOURNAL; v. 73, n. 4, p. 597-626, 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
We establish a link between the derivatives of Thurston's hyperbolic gluing equations on an ideally triangulated finite volume hyperbolic 3-manifold and the cohomology of the sheaf of infinitesimal isometrics. This provides a geometric reformulation of the non-abelian Reidemeister torsion corresponding to the adjoint of the monodromy representation of the hyperbolic structure. These results are then applied to the study of the `Hoop Conjecture' of Dimofte-Garoufalidis, which we generalize to arbitrary 1-cusped hyperbolic 3-manifolds. We verify the generalized conjecture in the case of the sister manifold of the figure-eight knot complement. (AU) | |
| Processo FAPESP: | 18/12483-0 - Dinâmica e geometria em baixas dimensões |
| Beneficiário: | Rafal Marian Siejakowski |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |