DC Field | Value | Language |
---|---|---|
dc.contributor.author | OH, YONG GEUN | - |
dc.contributor.author | Tanaka, Hiro Lee | - |
dc.date.accessioned | 2022-09-06T06:20:10Z | - |
dc.date.available | 2022-09-06T06:20:10Z | - |
dc.date.created | 2022-09-03 | - |
dc.date.issued | 2022-08 | - |
dc.identifier.issn | 1472-2747 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/113653 | - |
dc.description.abstract | We prove that, for nice classes of infinite-dimensional smooth groups G , natural constructions in smooth topology and symplectic topology yield homotopically coherent group actions of G . This yields a bridge between infinite-dimensional smooth groups and homotopy theory. The result relies on two computations: one showing that the diffeological homotopy groups of the Milnor classifying space B G are naturally equivalent to the (continuous) homotopy groups, and a second showing that a particular strict category localizes to yield the homotopy type of B G . We then prove a result in symplectic geometry: these methods are applicable to the group of Liouville automorphisms of a Liouville sector. The present work is written with an eye toward Oh and Tanaka (2019), where our constructions show that higher homotopy groups of symplectic automorphism groups map to Fukaya-categorical invariants, and where we prove a conjecture of Teleman from the 2014 ICM in the Liouville and monotone settings. | - |
dc.language | English | - |
dc.publisher | Geometry & Topology Publications | - |
dc.relation.isPartOf | Algebraic and Geometric Topology | - |
dc.title | Smooth constructions of homotopy-coherent actions | - |
dc.type | Article | - |
dc.identifier.doi | 10.2140/agt.2022.22.1177 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Algebraic and Geometric Topology, v.22, no.3, pp.1177 - 1216 | - |
dc.identifier.wosid | 000863204200006 | - |
dc.citation.endPage | 1216 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1177 | - |
dc.citation.title | Algebraic and Geometric Topology | - |
dc.citation.volume | 22 | - |
dc.contributor.affiliatedAuthor | OH, YONG GEUN | - |
dc.identifier.scopusid | 2-s2.0-85137376824 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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