000086506 001__ 86506
000086506 005__ 20201217140621.0
000086506 0247_ $$2doi$$a10.1007/s10231-018-0819-8
000086506 0248_ $$2sideral$$a110419
000086506 037__ $$aART-2019-110419
000086506 041__ $$aeng
000086506 100__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza
000086506 245__ $$aSymplectic harmonicity and generalized coeffective cohomologies
000086506 260__ $$c2019
000086506 5060_ $$aAccess copy available to the general public$$fUnrestricted
000086506 5203_ $$aRelations between the symplectically harmonic cohomology and the coeffective cohomology of a symplectic manifold are obtained. This is achieved through a generalization of the latter, which in addition allows us to provide a coeffective version of the filtered cohomologies introduced by Tsai, Tseng and Yau. We construct closed (simply connected) manifolds endowed with a family of symplectic forms ¿t such that the dimensions of these symplectic cohomology groups vary with respect to t. A complete study of these cohomologies is given for 6-dimensional symplectic nilmanifolds, and concrete examples with special cohomological properties are obtained on an 8-dimensional solvmanifold and on 2-step nilmanifolds in higher dimensions.
000086506 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P
000086506 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000086506 590__ $$a0.959$$b2019
000086506 591__ $$aMATHEMATICS$$b119 / 324 = 0.367$$c2019$$dQ2$$eT2
000086506 591__ $$aMATHEMATICS, APPLIED$$b166 / 260 = 0.638$$c2019$$dQ3$$eT2
000086506 592__ $$a1.281$$b2019
000086506 593__ $$aApplied Mathematics$$c2019$$dQ1
000086506 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000086506 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, R.
000086506 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000086506 773__ $$g198 (2019), 1351–1380$$pAnn Mat. Pura Appl.$$tAnnali di Matematica Pura ed Applicata$$x0373-3114
000086506 8564_ $$s328666$$uhttps://zaguan.unizar.es/record/86506/files/texto_completo.pdf$$yPostprint
000086506 8564_ $$s93261$$uhttps://zaguan.unizar.es/record/86506/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000086506 909CO $$ooai:zaguan.unizar.es:86506$$particulos$$pdriver
000086506 951__ $$a2020-12-17-14:05:03
000086506 980__ $$aARTICLE