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dc.contributor.author
Lauret, Emilio Agustin
dc.contributor.author
Miatello, Roberto Jorge
dc.contributor.author
Rossetti, Juan Pablo
dc.date.available
2017-01-13T20:51:41Z
dc.date.issued
2013-12
dc.identifier.citation
Lauret, Emilio Agustin; Miatello, Roberto Jorge; Rossetti, Juan Pablo; Strongly isospectral manifolds with nonisomorphic cohomology rings; European Mathematical Society; Revista Matematica Iberoamericana; 29; 4; 12-2013; 611-634
dc.identifier.issn
0213-2230
dc.identifier.uri
http://hdl.handle.net/11336/11346
dc.description.abstract
For any n≥7n≥7, k≥3k≥3, we give pairs of compact flat nn-manifolds MM, M′M′ with holonomy groups Zk2Z2k, that are strongly isospectral, hence isospectral on pp-forms for all values of pp, having nonisomorphic cohomology rings. Moreover, if nn is even, MM is Kähler while M′M′ is not. Furthermore, with the help of a computer program we show the existence of large Sunada isospectral families; for instance, for n=24n=24 and k=3k=3 there is a family of eight compact flat manifolds (four of them Kähler) having very different cohomology rings. In particular, the cardinalities of the sets of primitive forms are different for all manifolds
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
European Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Isospectral
dc.subject
Cohomology Rings
dc.subject
Primitive Forms
dc.subject
Flat Manifolds
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Strongly isospectral manifolds with nonisomorphic cohomology rings
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-25T14:00:42Z
dc.journal.volume
29
dc.journal.number
4
dc.journal.pagination
611-634
dc.journal.pais
España
dc.journal.ciudad
Madrid
dc.description.fil
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.description.fil
Fil: Miatello, Roberto Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.description.fil
Fil: Rossetti, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.journal.title
Revista Matematica Iberoamericana
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=29&iss=2&rank=8
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.4171/RMI/732
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1103.0249v2.pdf
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