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Higher nonabelian omni-Lie algebroids

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0 Published in 2021 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2021.104277

Abstract: Abstract In this paper, the structure of higher nonabelian omni-Lie algebroid is studied. The concept of higher nonabelian omni-Lie algebroids on direct sum bundle D E ⊕ ∧ n J E is introduced, and its… read more here.

Keywords: lie algebroids; geometry; lie algebroid; nonabelian omni ... See more keywords

LIE ALGEBROIDS AS $L_{\infty }$ SPACES

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0 Published in 2018 at "Journal of the Institute of Mathematics of Jussieu"

DOI: 10.1017/s1474748018000075

Abstract: In this paper, we relate Lie algebroids to Costello’s version of derived geometry. For instance, we show that each Lie algebroid – and the natural generalization to dg Lie algebroids – provides an (essentially unique)… read more here.

Keywords: lie algebroid; lie algebroids; infty space; infty spaces ... See more keywords

Higher Dimensional Lie Algebroid Sigma Model with WZ Term

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1 Published in 2021 at "Universe"

DOI: 10.3390/universe7100391

Abstract: We generalize the (n+1)-dimensional twisted R-Poisson topological sigma model with flux on a target Poisson manifold to a Lie algebroid. Analyzing the consistency of constraints in the Hamiltonian formalism and the gauge symmetry in the… read more here.

Keywords: lie algebroid; condition; lie; sigma model ... See more keywords