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Article: Contraction algebra and invariants of singularities
| Title | Contraction algebra and invariants of singularities |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org |
| Citation | International Mathematics Research Notices, 2017 How to Cite? |
| Abstract | Donovan 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 Identifier | http://hdl.handle.net/10722/234650 |
| ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.337 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hua, Z | - |
| dc.contributor.author | Toda, Y | - |
| dc.date.accessioned | 2016-10-14T13:48:16Z | - |
| dc.date.available | 2016-10-14T13:48:16Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | International Mathematics Research Notices, 2017 | - |
| dc.identifier.issn | 1073-7928 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/234650 | - |
| dc.description.abstract | Donovan 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.language | eng | - |
| dc.publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org | - |
| dc.relation.ispartof | International Mathematics Research Notices | - |
| dc.rights | Pre-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.title | Contraction algebra and invariants of singularities | - |
| dc.type | Article | - |
| dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
| dc.identifier.authority | Hua, Z=rp01790 | - |
| dc.identifier.doi | 10.1093/imrn/rnw333 | - |
| dc.identifier.scopus | eid_2-s2.0-85052600517 | - |
| dc.identifier.hkuros | 270058 | - |
| dc.identifier.isi | WOS:000441668300006 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 1073-7928 | - |