| dc.contributor.author | Walpuski, Thomas | |
| dc.date.accessioned | 2017-03-23T20:11:18Z | |
| dc.date.available | 2017-06-19T21:40:54Z | |
| dc.date.issued | 2016-07 | |
| dc.date.submitted | 2016-04 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.issn | 1432-0916 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/107682 | |
| dc.description.abstract | We prove an existence theorem for Spin(7)-instantons, which are highly concentrated near a Cayley submanifold; thus giving a partial converse to Tian’s foundational compactness theorem (Ann Math (2) 151(1):193–268, 2000). As an application, we show how to construct Spin(7)-instantons on Spin(7)-manifolds with suitable local K3 Cayley fibrations. This recovers an example constructed by Lewis (Spin(7) instantons, Ph.D. Thesis, 1998). | en_US |
| dc.description.sponsorship | European Research Council (Grant 247331) | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00220-016-2724-6 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Walpuski, Thomas. “Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections.” Communications in Mathematical Physics 352, no. 1 (July 22, 2016): 1–36. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Walpuski, Thomas | |
| dc.relation.journal | Communications in Mathematical Physics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2017-03-15T04:36:11Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
| dspace.orderedauthors | Walpuski, Thomas | en_US |
| dspace.embargo.terms | N | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-2705-3423 | |
| mit.license | PUBLISHER_POLICY | en_US |
