The cohomology of the elliptic tangent bundle

Aldo Witte

doi:10.48550/arXiv.2104.04845

The cohomology of the elliptic tangent bundle

Aldo Witte

Research output: Working paper › Preprint › Academic

Abstract

In this note we compute the cohomology of the elliptic tangent bundle, a Lie algebroid introduced in Cavalcanti and Gualtieri (2018), Cavalcanti et al. (2020) used to describe singular symplectic forms arising from generalised complex geometry.

Original language	English
Publisher	arXiv
Pages	1-16
DOIs	https://doi.org/10.48550/arXiv.2104.04845
Publication status	Published - 10 Apr 2021

Bibliographical note

Funding Information:
The author would like to thank his supervisor Gil Cavalcanti and Ralph Klaasse for useful discussions. The author is also very grateful to the anonymous referees for their valuable comments. The author was supported by the NWO, The Netherlands through the Utrecht Geometry Centre Graduate Programme.

Publisher Copyright:
© 2021 The Author(s)

Keywords

Generalised complex geometry
Lie algebroids
Poisson geometry
Singular symplectic structures

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10.48550/arXiv.2104.04845Licence: CC BY

2104.04845v1Submitted manuscript, 214 KBLicence: CC BY

Cite this

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The cohomology of the elliptic tangent bundle

Abstract

Bibliographical note

Keywords

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