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dc.contributor.authorBlagojević, Pavle V M
dc.contributor.authorGalashin, Pavel
dc.contributor.authorPalić, Nevena
dc.contributor.authorZiegler, Günter M
dc.date.accessioned2021-09-20T17:20:17Z
dc.date.available2021-09-20T17:20:17Z
dc.date.issued2019-02-06
dc.identifier.urihttps://hdl.handle.net/1721.1/131535
dc.description.abstractAbstract The amplituhedra arise as images of the totally nonnegative Grassmannians by projections that are induced by linear maps. They were introduced in Physics by Arkani-Hamed and Trnka (J High Energy Phys 10:30, 2014) as model spaces that should provide a better understanding of the scattering amplitudes of quantum field theories. The topology of the amplituhedra has been known only in a few special cases, where they turned out to be homeomorphic to balls. The amplituhedra are special cases of Grassmann polytopes introduced by Lam (in: Jerison, Kisin, Seidel, Stanley, Yau, Yau (eds) Current developments in mathematics, International Press, Somerville, 2016). In this paper we show that some further amplituhedra are homeomorphic to balls, and that some more Grassmann polytopes and amplituhedra are contractible.en_US
dc.publisherSpringer International Publishingen_US
dc.relation.isversionofhttps://doi.org/10.1007/s00029-019-0462-2en_US
dc.rightsArticle 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.sourceSpringer International Publishingen_US
dc.titleSome more amplituhedra are contractibleen_US
dc.typeArticleen_US
dc.identifier.citationSelecta Mathematica. 2019 Feb 06;25(1):8en_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2020-09-24T21:11:15Z
dc.language.rfc3066en
dc.rights.holderSpringer Nature Switzerland AG
dspace.embargo.termsY
dspace.date.submission2020-09-24T21:11:15Z
mit.licensePUBLISHER_POLICY
mit.metadata.statusAuthority Work and Publication Information Needed


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