Symplectic harmonicity and generalized coeffective cohomologies

Ugarte, L. (Universidad de Zaragoza) ; Villacampa, R.

Resumen: Relations 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.

Idioma: Inglés

DOI: 10.1007/s10231-018-0819-8

Año: 2019

Publicado en: Annali di Matematica Pura ed Applicata 198 (2019), 1351–1380
ISSN: 0373-3114

Factor impacto JCR: 0.959 (2019)

Categ. JCR: MATHEMATICS rank: 119 / 324 = 0.367 (2019) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 166 / 260 = 0.638 (2019) - Q3 - T2

Factor impacto SCIMAGO: 1.281 - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)