Matches in SemOpenAlex for { <https://semopenalex.org/work/W4382201985> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4382201985 abstract "This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these systems is that their base spaces are still smooth manifolds (with boundary and corners), similarly to the toric case, but their associated integral affine structures are singular, with non-trivial monodromy, due to focus singularities. We obtain a series of convexity results, both positive and negative, for such singular integral affine base spaces. In particular, near a focus singular point, they are locally convex and the local-global convexity principle still applies. They are also globally convex under some natural additional conditions. However, when the monodromy is sufficiently big then the local-global convexity principle breaks down, and the base spaces can be globally non-convex even for compact manifolds. As one of surprising examples, we construct a 2-dimensional integral affine black hole, which is locally convex but for which a straight ray from the center can never escape." @default.
- W4382201985 created "2023-06-28" @default.
- W4382201985 creator A5035846163 @default.
- W4382201985 creator A5058692396 @default.
- W4382201985 creator A5079900487 @default.
- W4382201985 date "2017-06-04" @default.
- W4382201985 modified "2023-09-25" @default.
- W4382201985 title "Convexity of singular affine structures and toric-focus integrable Hamiltonian systems" @default.
- W4382201985 doi "https://doi.org/10.48550/arxiv.1706.01093" @default.
- W4382201985 hasPublicationYear "2017" @default.
- W4382201985 type Work @default.
- W4382201985 citedByCount "0" @default.
- W4382201985 crossrefType "posted-content" @default.
- W4382201985 hasAuthorship W4382201985A5035846163 @default.
- W4382201985 hasAuthorship W4382201985A5058692396 @default.
- W4382201985 hasAuthorship W4382201985A5079900487 @default.
- W4382201985 hasBestOaLocation W43822019851 @default.
- W4382201985 hasConcept C106159729 @default.
- W4382201985 hasConcept C120665830 @default.
- W4382201985 hasConcept C121332964 @default.
- W4382201985 hasConcept C12843 @default.
- W4382201985 hasConcept C134306372 @default.
- W4382201985 hasConcept C162324750 @default.
- W4382201985 hasConcept C192209626 @default.
- W4382201985 hasConcept C200741047 @default.
- W4382201985 hasConcept C202444582 @default.
- W4382201985 hasConcept C33923547 @default.
- W4382201985 hasConcept C72134830 @default.
- W4382201985 hasConcept C92757383 @default.
- W4382201985 hasConcept C96403706 @default.
- W4382201985 hasConceptScore W4382201985C106159729 @default.
- W4382201985 hasConceptScore W4382201985C120665830 @default.
- W4382201985 hasConceptScore W4382201985C121332964 @default.
- W4382201985 hasConceptScore W4382201985C12843 @default.
- W4382201985 hasConceptScore W4382201985C134306372 @default.
- W4382201985 hasConceptScore W4382201985C162324750 @default.
- W4382201985 hasConceptScore W4382201985C192209626 @default.
- W4382201985 hasConceptScore W4382201985C200741047 @default.
- W4382201985 hasConceptScore W4382201985C202444582 @default.
- W4382201985 hasConceptScore W4382201985C33923547 @default.
- W4382201985 hasConceptScore W4382201985C72134830 @default.
- W4382201985 hasConceptScore W4382201985C92757383 @default.
- W4382201985 hasConceptScore W4382201985C96403706 @default.
- W4382201985 hasLocation W43822019851 @default.
- W4382201985 hasOpenAccess W4382201985 @default.
- W4382201985 hasPrimaryLocation W43822019851 @default.
- W4382201985 hasRelatedWork W1825598370 @default.
- W4382201985 hasRelatedWork W1990547791 @default.
- W4382201985 hasRelatedWork W1998983272 @default.
- W4382201985 hasRelatedWork W2046219024 @default.
- W4382201985 hasRelatedWork W2110452846 @default.
- W4382201985 hasRelatedWork W2553874493 @default.
- W4382201985 hasRelatedWork W2766717225 @default.
- W4382201985 hasRelatedWork W2949693526 @default.
- W4382201985 hasRelatedWork W2951843713 @default.
- W4382201985 hasRelatedWork W4297688538 @default.
- W4382201985 isParatext "false" @default.
- W4382201985 isRetracted "false" @default.
- W4382201985 workType "article" @default.