On a minimal factorization conjecture

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dc.citation.epage2794spa
dc.citation.issue15spa
dc.citation.journalTitleTopology and its Applicationseng
dc.citation.journalTitleTopology and its Applicationsspa
dc.citation.spage2786spa
dc.citation.volume154spa
dc.contributor.authorCadavid, Carlos A.
dc.contributor.authorVélez, Juan D.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-30T15:19:01Z
dc.date.available2016-11-30T15:19:01Z
dc.date.issued2007-08
dc.description.abstractLet be a proper holomorphic map from a connected complex surface S onto the open unit disk D⊂C, with 0∈D as its unique singular value, and having fiber genus g>0 -- Assume that in case g⩾2, admits a deformation whose singular fibers are all of simple Lefschetz type -- It has been conjectured that the factorization of the monodromy f∈M around ϕ (0) in terms of righ-thanded Dehn twists induced by the monodromy of has the least number of factors among all possible factorizations of f as a product of righthanded Dehn twists in the mapping class group (see [M. Ishizaka, One parameter families of Riemann surfaces and presentations of elements of mapping class group by Dehn twists, J. Math. Soc. Japan 58 (2) (2006) 585–594]) -- In this article, the validity of this conjecture is established for g=1eng
dc.formatapplication/pdfeng
dc.identifier.doi10.1016/j.topol.2007.06.003
dc.identifier.issn0166-8641
dc.identifier.urihttp://hdl.handle.net/10784/9780
dc.language.isoengeng
dc.publisherElsevierspa
dc.relation.ispartofTopology and its Applications, Volume 154, Issue 15, pp. 2786-2794spa
dc.relation.urihttp://dx.doi.org/10.1016/j.topol.2007.06.003
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.localAcceso abiertospa
dc.subject.keywordRiemann surfacesspa
dc.subject.keywordAlgebraic topologyspa
dc.subject.keywordGeometry, differentialspa
dc.subject.keywordMathematical analysisspa
dc.subject.keywordIsomorphisms (Mathematics)spa
dc.subject.keywordRiemann surfaceseng
dc.subject.keywordAlgebraic topologyeng
dc.subject.keywordGeometryeng
dc.subject.keyworddifferentialeng
dc.subject.keywordMathematical analysiseng
dc.subject.keywordIsomorphisms (Mathematics)eng
dc.subject.keywordFibraciones elípticas.keywor
dc.subject.keywordMonodromía.keywor
dc.subject.lembSUPERFICIES DE RIEMANNspa
dc.subject.lembTOPOLOGÍA ALGEBRÁICAspa
dc.subject.lembGEOMETRÍA DIFERENCIALspa
dc.subject.lembANÁLISIS MATEMÁTICOspa
dc.subject.lembISOMORFISMO (MATEMÁTICAS)spa
dc.titleOn a minimal factorization conjectureeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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