TL;DR
This paper computes the cohomology of the elliptic tangent bundle, a Lie algebroid relevant to singular symplectic forms in generalized complex geometry, providing new insights into its topological structure.
Contribution
It introduces the computation of the cohomology of the elliptic tangent bundle, a novel Lie algebroid in the context of generalized complex geometry.
Findings
Explicit cohomology groups of the elliptic tangent bundle are determined.
The results connect to the structure of singular symplectic forms.
New methods for analyzing Lie algebroid cohomology are proposed.
Abstract
In this note we compute the cohomology of the elliptic tangent bundle, a Lie algebroid used to describe singular symplectic forms arising from generalized complex geometry.
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