On the bott-chern cohomology and balanced hermitian nilmanifolds

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

Resumen: The Bott–Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which are related to the -lemma condition and defined in terms of the Bott–Chern cohomology, and show that the vanishing of some of these invariants is not a closed property under holomorphic deformations. In the balanced case, we determine the spaces that parametrize deformations in type IIB supergravity described by Tseng and Yau in terms of the Bott–Chern cohomology group of bidegree (2, 2).

Idioma: Inglés

DOI: 10.1142/S0129167X14500578

Año: 2014

Publicado en: INTERNATIONAL JOURNAL OF MATHEMATICS 25, 6 (2014), 1450057 [18 pp.]
ISSN: 0129-167X

Factor impacto JCR: 0.597 (2014)

Categ. JCR: MATHEMATICS rank: 161 / 310 = 0.519 (2014) - Q3 - T2

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01

Tipo y forma: Article (PostPrint)

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