Towards a higher-dimensional construction of stable/unstable Lagrangian laminations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sangjin Lee | - |
dc.date.accessioned | 2024-08-08T02:30:05Z | - |
dc.date.available | 2024-08-08T02:30:05Z | - |
dc.date.created | 2024-05-20 | - |
dc.date.issued | 2024-04 | - |
dc.identifier.issn | 1472-2747 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/15482 | - |
dc.description.abstract | We generalize some properties of surface automorphisms of pseudo-Anosov type. First, we generalize the Penner construction of a pseudo-Anosov homeomorphism, and show that if a symplectic automorphism is constructed by our generalized Penner construction, then it has an invariant Lagrangian branched submanifold and an invariant Lagrangian lamination. These invariants are higher-dimensional generalizations of a train track and a geodesic lamination in the surface case. As an application, we compute the Lagrangian Floer homology of some Lagrangians on plumbings of cotangent bundles of spheres. © 2024 MSP (Mathematical Sciences Publishers). | - |
dc.language | 영어 | - |
dc.publisher | Geometry & Topology Publications | - |
dc.title | Towards a higher-dimensional construction of stable/unstable Lagrangian laminations | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 001216511900011 | - |
dc.identifier.scopusid | 2-s2.0-85192368581 | - |
dc.identifier.rimsid | 83103 | - |
dc.contributor.affiliatedAuthor | Sangjin Lee | - |
dc.identifier.doi | 10.2140/agt.2024.24.655 | - |
dc.identifier.bibliographicCitation | Algebraic and Geometric Topology, v.24, no.2, pp.655 - 716 | - |
dc.relation.isPartOf | Algebraic and Geometric Topology | - |
dc.citation.title | Algebraic and Geometric Topology | - |
dc.citation.volume | 24 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 655 | - |
dc.citation.endPage | 716 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |