U. Bruzzo, V. N. Rubtsov, “Cohomology of skew-holomorphic Lie algebroids”, TMF, 165:3 (2010), 426–439; Theoret. and Math. Phys., 165:3 (2010), 1598

Loading [MathJax]/jax/output/CommonHTML/jax.js

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 3, Pages 426–439
DOI: https://doi.org/10.4213/tmf6586 (Mi tmf6586)

This article is cited in 14 scientific papers (total in 14 papers)

Cohomology of skew-holomorphic Lie algebroids

U. Bruzzo^ab, V. N. Rubtsov^cd

^a International School for Advanced Studies, Trieste, Italy
^b National Institute of Nuclear Physics, Sezione di Trieste, Italy
^c Institute for Theoretical and Experimental Physics, Moscow, Russia
^d Université d'Angers, Département de Mathématiques LAREMA, VFR Sciences, Angers, France

Full-text PDF (469 kB) Citations (14)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf6586

Abstract: 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.

English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 3, Pages 1598–1609
DOI: https://doi.org/10.1007/s11232-010-0132-1

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: U. Bruzzo, V. N. Rubtsov, “Cohomology of skew-holomorphic Lie algebroids”, TMF, 165:3 (2010), 426–439; Theoret. and Math. Phys., 165:3 (2010), 1598–1609

Citation in format AMSBIB

\Bibitem{BruRub10}

\by U.~Bruzzo, V.~N.~Rubtsov

\paper Cohomology of skew-holomorphic Lie algebroids

\jour TMF

\yr 2010

\vol 165

\issue 3

\pages 426--439

\mathnet{http://mi.mathnet.ru/tmf6586}

\crossref{https://doi.org/10.4213/tmf6586}

\transl

\jour Theoret. and Math. Phys.

\yr 2010

\vol 165

\issue 3

\pages 1598--1609

\crossref{https://doi.org/10.1007/s11232-010-0132-1}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000288427000002}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79951689819}

Linking options:

https://www.mathnet.ru/eng/tmf6586

https://doi.org/10.4213/tmf6586

https://www.mathnet.ru/eng/tmf/v165/i3/p426

This publication is cited in the following 14 articles:

Pirbodaghi Z., Rezaii M.M., “Forms and Chern Classes on Hermitian Lie Algebroids”, Bull. Iran Math. Soc., 46:1 (2020), 19–36
Pirbodaghi Z., Rezaii M.M., “Vanishing Theorems on Kahler Lie Algebroids”, Int. J. Geom. Methods Mod. Phys., 17:4 (2020), 2050059
Salnikov V., “Supersymmetrization: Aksz and Beyond?”, Russ. J. Math. Phys., 27:4 (2020), 517–534
Ida C., Popescu P., J. Geom. Phys., 112 (2017), 210–223
Ida C., Popescu P., “Contact Structures on Lie Algebroids”, Publ. Math.-Debr., 91:1-2 (2017), 1–31
Bruzzo U., “Lie Algebroid Cohomology as a Derived Functor”, J. Algebra, 483 (2017), 245–261
Ida C., Popescu P., “On Almost Complex Lie Algebroids”, Mediterr. J. Math., 13:2 (2016), 803–824
Vitagliano L., Wade A., “Generalized contact bundles”, C. R. Math., 354:3, 2016 (2016), 313–317
Salnikov V., “Graded Geometry in Gauge Theories and Beyond”, J. Geom. Phys., 87 (2015), 422–431
Mircea Crasmareanu, Cristian Ida, “Almost Analyticity on Almost (Para) Complex Lie Algebroids”, Results. Math., 67:3-4 (2015), 495
Ugo Bruzzo, Igor Mencattini, Vladimir N. Rubtsov, Pietro Tortella, “Nonabelian holomorphic Lie algebroid extensions”, Int. J. Math., 26:05 (2015), 1550040
Popescu P., “Poisson Structures on Almost Complex Lie Algebroids”, Int. J. Geom. Methods Mod. Phys., 11:8 (2014), 1450069
Salnikov V., Strobl T., “Dirac SIGMA Models From Gauging”, J. High Energy Phys., 2013, no. 11, 110
Tortella P., “ $\Lambda$ -modules and holomorphic Lie algebroid connections”, Cent. Eur. J. Math., 10:4 (2012), 1422–1441

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	437
Full-text PDF :	201
References:	57
First page:	7

Registration to the website

Logotypes