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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonabelian holomorphic Lie algebroid extensions

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Author(s):
Bruzzo, Ugo [1, 2] ; Mencattini, Igor [3] ; Rubtsov, Vladimir N. [4, 5] ; Tortella, Pietro [3]
Total Authors: 4
Affiliation:
[1] Ist Nazl Fis Nucl, Sez Trieste, Trieste - Italy
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC - Brazil
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil
[4] Univ Angers, UFR Sci, Dept Math, CNRS, LAREMA, UMR 6093, F-49045 Angers 01 - France
[5] Inst Theoret & Expt Phys, Div Theoret, Moscow 117259 - Russia
Total Affiliations: 5
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF MATHEMATICS; v. 26, n. 5 MAY 2015.
Web of Science Citations: 4
Abstract

We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild-Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure. (AU)

FAPESP's process: 12/07867-7 - Spectral sequencies associated to Lie algebroids
Grantee:Igor Mencattini
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 11/17593-9 - Holomorphic Lie algebroids, stacks of twisted modules and applications to the Hitchin system and Poisson geometry.
Grantee:Pietro Tortella
Support Opportunities: Scholarships in Brazil - Post-Doctorate