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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampFadel, Daniel Gomes-
dc.typeArtigopt_BR
dc.titleThe limit of large mass monopolespt_BR
dc.contributor.authorFadel, Daniel-
dc.contributor.authorOliveira, Goncalo-
dc.subjectGeometria diferencialpt_BR
dc.subject.otherlanguageDifferential geometrypt_BR
dc.description.abstractIn this paper, we consider SU (2) monopoles on an asymptotically conical, oriented, Riemannian 3-manifold with one end. The connected components of the moduli space of monopoles in this setting are labeled by an integer called the charge. We analyze the limiting behavior of sequences of monopoles with fixed charge, and whose sequence of Yang-Mills-Higgs energies is unbounded. We prove that the limiting behavior of such monopoles is characterized by energy concentration along a certain set, which we call the blow-up set. Our work shows that this set is finite, and using a bubbling analysis obtains effective bounds on its cardinality, with such bounds depending solely on the charge of the monopole. Moreover, for such sequences of monopoles there is another naturally associated set, the zero set, which consists of the set at which the zeros of the Higgs fields accumulate. Regarding this, our results show that for such sequences of monopoles, the zero set and the blow-up set coincide. In particular, proving that in this 'large mass' limit, the zero set is a finite set of points. Some of our work extends for sequences of finite mass critical points of the Yang-Mills-Higgs functional for which the Yang-Mills-Higgs energies are O(mi) as i ->infinity, where mi are the masses of the configurationspt_BR
dc.relation.ispartofProceedings of the London Mathematical Societypt_BR
dc.relation.ispartofabbreviationProc. London Math. Soc.pt_BR
dc.publisher.cityChichesterpt_BR
dc.publisher.countryReino Unidopt_BR
dc.publisherWileypt_BR
dc.date.issued2019-
dc.date.monthofcirculationDec.pt_BR
dc.language.isoengpt_BR
dc.description.volume119pt_BR
dc.description.issuenumber6pt_BR
dc.description.firstpage1531pt_BR
dc.description.lastpage1559pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0024-6115pt_BR
dc.identifier.eissn1460-244Xpt_BR
dc.identifier.doi10.1112/plms.12275pt_BR
dc.identifier.urlhttps://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/plms.12275pt_BR
dc.description.sponsorshipCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQpt_BR
dc.description.sponsorshipCOORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPESpt_BR
dc.description.sponsordocumentnumber307475/2018-2; 428959/2018-0pt_BR
dc.description.sponsordocumentnumbernão tempt_BR
dc.date.available2020-06-02T15:28:28Z-
dc.date.accessioned2020-06-02T15:28:28Z-
dc.description.provenanceSubmitted by Mariana Aparecida Azevedo (mary1@unicamp.br) on 2020-06-02T15:28:28Z No. of bitstreams: 0. Added 1 bitstream(s) on 2020-09-03T11:55:26Z : No. of bitstreams: 1 000499869300004.pdf: 582214 bytes, checksum: 4e0f6ad2f8d2372a00cbb640c9e60b66 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-06-02T15:28:28Z (GMT). No. of bitstreams: 0 Previous issue date: 2019en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/342445-
dc.contributor.departmentsem informaçãopt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.identifier.source000499869300004pt_BR
dc.creator.orcid0000-0003-1641-2678pt_BR
dc.type.formArtigo de pesquisapt_BR
dc.description.sponsorNoteThe authors are grateful to the Fundação Serrapilheira, which through Vinicius Ramos research grant supported the first author while visiting IMPA. The first author is also grateful for having his Ph.D. supported by a CNPq doctoral grant; this article is part of his work towards a Ph.D. thesis at University of Campinas. The second author was supported by Fundação Serrapilheira, IMPA/CAPES and CNPq (grants Produtividade em Pesquisa 307475/2018‐2 and Universal 428959/2018‐0)pt_BR
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