|
Title
|
|
|
|
Faithful semitoric systems
| |
|
Author
|
|
|
|
| |
|
Abstract
|
|
|
|
| This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine structure associated to an integrable system. The second part introduces faithful semitoric systems, a generalization of semitoric systems (introduced by Vu Ngoc and classified by Pelayo and Vu Ngoc) that provides the language to develop surgeries on almost-toric systems in dimension 4. We prove that faithful semitoric systems are natural building blocks of almost-toric systems. Moreover, we show that they enjoy many of the properties that their (proper) semitoric counterparts do. |
| |
|
Language
|
|
|
|
English
| |
|
Source (journal)
|
|
|
|
Symmetry, Integrability and Geometry: Methods and Applications
| |
|
Publication
|
|
|
|
2018
| |
|
ISSN
|
|
|
|
1815-0659
| |
|
DOI
|
|
|
|
10.3842/SIGMA.2018.084
| |
|
Volume/pages
|
|
|
|
14
(2018)
, 66 p.
| |
|
Article Reference
|
|
|
|
084
| |
|
ISI
|
|
|
|
000442485200001
| |
|
Medium
|
|
|
|
E-only publicatie
| |
|
Full text (Publisher's DOI)
|
|
|
|
| |
|
Full text (open access)
|
|
|
|
| |
|