Universität zu Köln

Hohloch, Sonja, Sabatini, Silvia ORCID: 0000-0001-7521-321X, Sepe, Daniele ORCID: 0000-0001-6266-1259 and Symington, Margaret (2018). Faithful Semitoric Systems. Symmetry Integr. Geom., 14. KYIV 4: NATL ACAD SCI UKRAINE, INST MATH. ISSN 1815-0659

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hohloch, Sonja UNSPECIFIED UNSPECIFIED UNSPECIFIED Sabatini, Silvia UNSPECIFIED orcid.org/0000-0001-7521-321X UNSPECIFIED Sepe, Daniele UNSPECIFIED orcid.org/0000-0001-6266-1259 UNSPECIFIED Symington, Margaret UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-201069
DOI:	10.3842/SIGMA.2018.084
Journal or Publication Title:	Symmetry Integr. Geom.
Volume:	14
Date:	2018
Publisher:	NATL ACAD SCI UKRAINE, INST MATH
Place of Publication:	KYIV 4
ISSN:	1815-0659
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language INTEGRABLE HAMILTONIAN-SYSTEMS; MONOTONE LAGRANGIAN TORI; FOCUS-FOCUS; SYMPLECTIC TOPOLOGY; NORMAL FORMS; CONVEXITY Multiple languages Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/20106