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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,042 papers · 148 categories

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3 results for “Hom-Poisson”
Hom-Poisson-Nijenhuis structures on Hom-Lie algebroids and Hom-Dirac structures on Hom-Courant algebroidsmath.SG

The paper develops structures on Hom-Lie algebroids and Hom-Courant algebroids.

problem Exploring new algebraic structures on Hom-Lie algebroids and Hom-Courant algebroids.
method Introducing Hom-Poisson, Hom-Nijenhuis, and Hom-Poisson-Nijenhuis structures on Hom-Lie algebroids and Hom-Dirac structures on Hom-Courant algebroids.
result Established properties and relationships among these structures, including a hierarchy and correspondence.
Hom-Lie algebroidsHom-Courant algebroidsHom-PoissonHom-NijenhuisHom-Dirac structures
2019-07-11abs ↗pdf ↗
Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroidsmath.DG

In this paper, first we modify the definition of a Hom-Lie algebroid introduced by Laurent-Gengoux and Teles and give its equivalent dual description. Many results that parallel to Lie algebroids are given. In particular, we give the notion of a Hom-Poisson manifold and show that there is a Hom-Lie algebroid structure …

2016-05-16abs ↗pdf ↗
Hom-Lie algebroidsmath.DG

We define hom-Lie algebroids, a definition that may seem cumbersome at first, but which is justified, first, by a one-to-one corespondence with hom-Gerstenhaber algebras, a notion that we also introduce, and several examples, including hom-Poisson structures.

2012-11-09abs ↗pdf ↗