English

A Fr\"olicher-type inequality for generalized complex manifolds

Differential Geometry 2015-03-17 v3 Symplectic Geometry

Abstract

We prove a Fr\"olicher-type inequality for a compact generalized complex manifold MM, and show that the equality holds if and only if MM satisfies the generalized ˉ\partial\bar{\partial}-Lemma. In particular, this gives a unified proof of analogous results in the complex and symplectic cases.

Keywords

Cite

@article{arxiv.1403.1682,
  title  = {A Fr\"olicher-type inequality for generalized complex manifolds},
  author = {Kwokwai Chan and Yat-Hin Suen},
  journal= {arXiv preprint arXiv:1403.1682},
  year   = {2015}
}

Comments

10 pages; v3: minor modifications; to appear in AGAG

R2 v1 2026-06-22T03:22:08.202Z