What question did this study set out to answer?

Formulate generalized frameworks for Lie algebroids and Gerstenhaber algebras over topological ringed spaces and extend their fundamental correspondences.

August 14, 2026Symmetry Integrability and Geometry Methods and ApplicationsOpen Access

L-Lie Algebroids over Topological Ringed Spaces

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Authors

MPMainak PoddarSeoul National University ASAbhishek SarkarIndian Institute of Technology Jodhpur

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Implication

Theoretical analysis demonstrates extended algebraic correspondences for generalized Lie algebroids over topological ringed spaces, indicating broader geometric and algebraic unification.

Key Points

Formulate generalized frameworks for Lie algebroids and Gerstenhaber algebras over topological ringed spaces and extend their fundamental correspondences.
Defined L-Lie algebroids associated with a base Lie algebroid over topological ringed spaces.
Constructed A-Gerstenhaber algebras corresponding to a base Gerstenhaber algebra in the ringed space setting.
Analyzed the theoretical extension of standard algebraic and geometric dualities within the generalized framework.
Successfully generalized standard Lie algebroid and Gerstenhaber algebra structures to relative L-Lie algebroids and A-Gerstenhaber algebras.
Demonstrated that foundational algebraic correspondences and geometric structures extend consistently to the broader topological ringed space context.

Cite This Study

Poddar et al. (2026) studied this question.

synapsesocial.com/papers/6a7ec69fb70b84ec8b912b77 https://doi.org/10.3842/sigma.2026.074

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Implication

Theoretical analysis demonstrates extended algebraic correspondences for generalized Lie algebroids over topological ringed spaces, indicating broader geometric and algebraic unification.

L-Lie Algebroids over Topological Ringed Spaces

Discussion

Member takes

Implication

Key Points

Cite This Study

L-Lie Algebroids over Topological Ringed Spaces

Discussion

Member takes

Implication

Key Points

Cite This Study

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