The height invariant of a four-parameter semitoric system with two focus–focus singularities
| dc.contributor.author | Alonso, Jaume | |
| dc.contributor.author | Hohloch, Sonja | |
| dc.date.accessioned | 2021-07-12T08:38:57Z | |
| dc.date.available | 2021-07-12T08:38:57Z | |
| dc.date.issued | 2021-04-19 | |
| dc.description.abstract | Semitoric systems are a special class of completely integrable systems with two degrees of freedom that have been symplectically classified by Pelayo and Vũ Ngọc about a decade ago in terms of five symplectic invariants. If a semitoric system has several focus–focus singularities, then some of these invariants have multiple components, one for each focus–focus singularity. Their computation is not at all evident, especially in multi-parameter families. In this paper, we consider a four-parameter family of semitoric systems with two focus–focus singularities. In particular, apart from the polygon invariant, we compute the so-called height invariant. Moreover, we show that the two components of this invariant encode the symmetries of the system in an intricate way. | en |
| dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2021 | en |
| dc.identifier.eissn | 1432-1467 | |
| dc.identifier.issn | 0938-8974 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/13413 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-12197 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | completely integrable Hamiltonian systems | en |
| dc.subject.other | semitoric systems | en |
| dc.subject.other | symplectic invariants | en |
| dc.subject.other | height invariant | en |
| dc.subject.other | focus-focus singularities | en |
| dc.title | The height invariant of a four-parameter semitoric system with two focus–focus singularities | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 51 | en |
| dcterms.bibliographicCitation.doi | 10.1007/s00332-021-09706-4 | en |
| dcterms.bibliographicCitation.journaltitle | Journal of Nonlinear Science | en |
| dcterms.bibliographicCitation.originalpublishername | Springer Nature | en |
| dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | en |
| dcterms.bibliographicCitation.volume | 31 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Geometrie und Mathematische Physik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Geometrie und Mathematische Physik | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |