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Article: Contraction algebra and invariants of singularities

TitleContraction algebra and invariants of singularities
Authors
Issue Date2017
PublisherOxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org
Citation
International Mathematics Research Notices, 2017 How to Cite?
AbstractDonovan and Wemyss [8] introduced the contraction algebra of flopping curves in 3-folds. When the flopping curve is smooth and irreducible, we prove that the contraction algebra together with its A∞-structure recovers various invariants associated to the underlying singularity and its small resolution, including the derived category of singularities and the genus zero Gopakumar–Vafa invariants.
Persistent Identifierhttp://hdl.handle.net/10722/234650
ISSN
2015 Impact Factor: 1.031
2015 SCImago Journal Rankings: 2.052

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.contributor.authorToda, Y-
dc.date.accessioned2016-10-14T13:48:16Z-
dc.date.available2016-10-14T13:48:16Z-
dc.date.issued2017-
dc.identifier.citationInternational Mathematics Research Notices, 2017-
dc.identifier.issn1073-7928-
dc.identifier.urihttp://hdl.handle.net/10722/234650-
dc.description.abstractDonovan and Wemyss [8] introduced the contraction algebra of flopping curves in 3-folds. When the flopping curve is smooth and irreducible, we prove that the contraction algebra together with its A∞-structure recovers various invariants associated to the underlying singularity and its small resolution, including the derived category of singularities and the genus zero Gopakumar–Vafa invariants.-
dc.languageeng-
dc.publisherOxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org-
dc.relation.ispartofInternational Mathematics Research Notices-
dc.rightsPre-print: Journal Title] ©: [year] [owner as specified on the article] Published by Oxford University Press [on behalf of xxxxxx]. All rights reserved. Pre-print (Once an article is published, preprint notice should be amended to): This is an electronic version of an article published in [include the complete citation information for the final version of the Article as published in the print edition of the Journal.] Post-print: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: xxxxxxx [insert URL that the author will receive upon publication here]. -
dc.titleContraction algebra and invariants of singularities-
dc.typeArticle-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.doi10.1093/imrn/rnw333-
dc.identifier.hkuros270058-
dc.publisher.placeUnited Kingdom-

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