F-algebra-Rinehart pairs and super F-algebroids

DOI10.1007/s40863-021-00277-6OpenAlexW4205478426WikidataQ121619325 ScholiaQ121619325MaRDI QIDQ2107654

Alexander Torres-Gomez, Javier A. Gutierrez, John Alexander Cruz Morales

Publication date: 2 December 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04724

zbMATH Keywords

Lie algebroidssupermanifoldsFrobenius manifoldsF-algebrasF-algebras modulesF-maniflodsLie-Rinehart pairs

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50) Poisson algebras (17B63) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (1)

On the classification of $3$-dimensional $F$-manifold algebras

Cites Work

• PROP profile of Poisson geometry
• Algebraic geometry of Poisson brackets
• Symplectic geometry in Frobenius manifolds and quantum cohomology
• Integrability of Lie brackets
• Algebraic structures of \(F\)-manifolds via pre-Lie algebras
• \(F\)-manifold algebras and deformation quantization via pre-Lie algebras
• Finite-dimensional simple Poisson modules
• Mathematical foundations of supersymmetry
• Poisson cohomology and quantization.
• Poisson enveloping algebras
• Lie Algebroids and Lie Pseudoalgebras
• On F-algebroids and Dubrovin’s duality
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