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Article: Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction.
Title | Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction. |
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Authors | |
Keywords | Asymptotically conical Calabi-Yau manifolds Conical singularities Special Lagrangian submanifolds |
Issue Date | 2009 |
Publisher | Springer 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/197206 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.587 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chan, YM | en_US |
dc.date.accessioned | 2014-05-23T02:26:44Z | - |
dc.date.available | 2014-05-23T02:26:44Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Annals of Global Analysis and Geometry , 2009, v. 35 n. 1, p. 91-114 | en_US |
dc.identifier.issn | 0232-704X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/197206 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704X | en_US |
dc.relation.ispartof | Annals of Global Analysis and Geometry | en_US |
dc.rights | The original publication is available at www.springerlink.com | en_US |
dc.subject | Asymptotically conical | - |
dc.subject | Calabi-Yau manifolds | - |
dc.subject | Conical singularities | - |
dc.subject | Special Lagrangian submanifolds | - |
dc.title | Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction. | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chan, YM: wtymchan@hku.hk | en_US |
dc.identifier.doi | 10.1007/s10455-008-9124-x | - |
dc.identifier.scopus | eid_2-s2.0-59849093321 | - |
dc.identifier.hkuros | 162815 | en_US |
dc.identifier.volume | 35 | en_US |
dc.identifier.spage | 91 | en_US |
dc.identifier.epage | 114 | en_US |
dc.identifier.isi | WOS:000263127700005 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.issnl | 0232-704X | - |