Orderability theory for braid groups over surfaces and for link-homotopy generaliz...
| Full text | |
| Author(s): |
Batista, E. B.
;
Costa, J. C. F.
;
Meza-Sarmiento, I. S.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF SINGULARITIES; v. 25, p. 12-pg., 2022-01-01. |
| Abstract | |
. In this work we investigate the topological classification of circle-valued simple Morse-Bott functions on connected closed orientable surfaces, up to topological conjugacy. We provide a complete topological invariant, called the MB-Reeb graph. This invariant is based on the generalized Reeb graph and the topological type of singular level sets of these functions. The results presented here extend to those obtained by the authors in a previous work when the surface is the standard sphere. (AU) | |
| FAPESP's process: | 18/25157-3 - Invariants of real singularities, pairs of germs and classification problems |
| Grantee: | João Carlos Ferreira Costa |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |