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Article: Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction.

TitleSimultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction.
Authors
Issue Date2009
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704X
Citation
Annals of Global Analysis and Geometry , 2009, v. 35 n. 1, p. 91-114 How to Cite?
AbstractIn this paper we extend our previous results on resolving conically singular Calabi–Yau 3-folds (Chan, Quart. J. Math. 57:151–181, 2006; Quart. J. Math., to appear) to include the desingularizations of special Lagrangian (SL) 3-folds with conical singularities that occur at the same points of the ambient Calabi–Yau. The gluing construction of the SL 3-folds is achieved by applying Joyce’s analytic result (Joyce, Ann. Global. Anal. Geom. 26: 1–58, 2004, Thm. 5.3) on deforming Lagrangian submanifolds to nearby special Lagrangian submanifolds. Our result will in principle be able to construct more examples of compact SL submanifolds in compact Calabi–Yau manifolds. Various explicit examples and applications illustrating the result in this paper can be found in the sequel (Chan, Ann. Global. Anal. Geom., to appear).
Persistent Identifierhttp://hdl.handle.net/10722/197206
ISSN
2015 Impact Factor: 0.835
2015 SCImago Journal Rankings: 1.136
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, YMen_US
dc.date.accessioned2014-05-23T02:26:44Z-
dc.date.available2014-05-23T02:26:44Z-
dc.date.issued2009en_US
dc.identifier.citationAnnals of Global Analysis and Geometry , 2009, v. 35 n. 1, p. 91-114en_US
dc.identifier.issn0232-704Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/197206-
dc.description.abstractIn this paper we extend our previous results on resolving conically singular Calabi–Yau 3-folds (Chan, Quart. J. Math. 57:151–181, 2006; Quart. J. Math., to appear) to include the desingularizations of special Lagrangian (SL) 3-folds with conical singularities that occur at the same points of the ambient Calabi–Yau. The gluing construction of the SL 3-folds is achieved by applying Joyce’s analytic result (Joyce, Ann. Global. Anal. Geom. 26: 1–58, 2004, Thm. 5.3) on deforming Lagrangian submanifolds to nearby special Lagrangian submanifolds. Our result will in principle be able to construct more examples of compact SL submanifolds in compact Calabi–Yau manifolds. Various explicit examples and applications illustrating the result in this paper can be found in the sequel (Chan, Ann. Global. Anal. Geom., to appear).-
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704Xen_US
dc.relation.ispartofAnnals of Global Analysis and Geometryen_US
dc.rightsThe original publication is available at www.springerlink.comen_US
dc.titleSimultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction.en_US
dc.typeArticleen_US
dc.identifier.emailChan, YM: wtymchan@hku.hken_US
dc.identifier.doi10.1007/s10455-008-9124-x-
dc.identifier.scopuseid_2-s2.0-59849093321-
dc.identifier.hkuros162815en_US
dc.identifier.volume35en_US
dc.identifier.spage91en_US
dc.identifier.epage114en_US
dc.identifier.isiWOS:000263127700005-
dc.publisher.placeNetherlandsen_US

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