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math.DG2026
Couplings of -anchored Bundles
Begüm AteÅli, OÄul Esen, Serkan Sütlü
This work develops an algebraic framework for merging two -anchored bundles over the same base manifold, equipped with mutual actions and two twisted cocycle terms, so as to obt…
math.DG2026
Constructions of -Lie algebroids
Begüm AteÅli, OÄul Esen, Serkan Sütlü
The paper investigates the construction of Lie algebroids and -Lie algebroids via connections generated by finite families of differential operators and dual sections. We first…
math.DG2025
On Product Lie Algebroids, and Collective Motion
Begüm AteÅli, OÄul Esen, Serkan Sütlü
This work explores the geometrical/algebraic framework of Lie algebroids, with a specific focus on the decoupling and coupling phenomena within the bicocycle double cross product r…