Cohomology of skew-holomorphic Lie algebroids
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 3, pp. 426-439
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We introduce the notion of a skew-holomorphic Lie algebroid on a complex manifold and explore some cohomology theories that can be associated with it. We present examples and applications of this notion in terms of different types of holomorphic Poisson structures.
Keywords:
holomorphic Lie algebroid, matching pair of Lie algebroids, Lie algebroid cohomology, holomorphic Poisson cohomology.
@article{TMF_2010_165_3_a2,
author = {U. Bruzzo and V. N. Rubtsov},
title = {Cohomology of skew-holomorphic {Lie} algebroids},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {426--439},
publisher = {mathdoc},
volume = {165},
number = {3},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a2/}
}
U. Bruzzo; V. N. Rubtsov. Cohomology of skew-holomorphic Lie algebroids. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 3, pp. 426-439. http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a2/