A Note on quasi Lie bialgebroids and twisted Poisson manifolds - INSPIRE

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A Note on quasi Lie bialgebroids and twisted Poisson manifolds

Dmitry Roytenberg
(
- Pennsylvania U., Dept. Math.
)

Dec, 2001

11 pages

Published in:

Lett.Math.Phys. 61 (2002) 123-137

e-Print:

math/0112152 [math.QA]

DOI:

10.1023/A:1020708131005

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Abstract:

We develop a theory of quasi-Lie bialgebroids using a homological approach, and apply it to study twisted Poisson structures with a 3-form background which have recently appeared in the context of string theory, and were studied by \v{S}evera and Weinstein using a different method.

References(10)

Figures(0)

e-Print:
- math/0006168

Nonassociative star product deformations for D-brane world volumes in curved backgrounds

- Commun.Math.Phys. 225 (2002) 33-66
•
e-Print:
- hep-th/0101219
•
DOI:
- 10.1007/s002201000569

WZW - Poisson manifolds

Ctirad Klimcik
(
- Luminy, Inst. Math.
)
,
Thomas Strobl
(
- Jena U.
)

- J.Geom.Phys. 43 (2002) 341-344
•
e-Print:
- math/0104189
•
DOI:
- 10.1016/S0393-0440(02)00027-X

- Commun.Algebra 23 2147

- Compt.Rend.Math. 310 405

Manin Triples for Lie Bialgebroids

- J.Diff.Geom. 45 (1997) 3, 547-574
•
e-Print:
- dg-ga/9508013

- Duke Math.J. 73 415

Topological open p-branes

Jae-Suk Park
(
- Columbia U.
)

•
e-Print:
- hep-th/0012141

Courant algebroids, derived brackets and even symplectic supermanifolds

Dmitry Roytenberg

e-Print:
- math/9910078

Poisson geometry with a 3 form background

Pavol Severa
(
- Comenius U.
)
,
Alan Weinstein
(
- UC, Berkeley, Math. Dept.
)

- Prog.Theor.Phys.Suppl. 144 (2001) 145-154
•
e-Print:
- math/0107133
•
DOI:
- 10.1143/PTPS.144.145