On cohomological decomposition of generalized-complex structures

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• 作者：Daniele Angella^a ; ¹ ; ^{daniele.angella@math.unipr.it" class="auth_mail" title="E-mail the corresponding author} ; ^{daniele.angella@sns.it" class="auth_mail" title="E-mail the corresponding author} ; ^{daniele.angella@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Simone Calamai^b ; ^{scalamai@math.unifi.it" class="auth_mail" title="E-mail the corresponding author} ; Adela Latorre^c ; ^{adela@unizar.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：32Q60 ; 53D18 ; 57T15
• 刊名：Journal of Geometry and Physics
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：98
• 期：Complete
• 页码：227-241
• 全文大小：446 K

文摘

We study properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the C^∞${\mathcal{C}}^{\infty }$-pure-and-fullness introduced by Li and Zhang in the complex case and the Hard Lefschetz Condition in the symplectic case. Explicit examples on the moduli space of the Iwasawa manifold are investigated.