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math.DG2025
From n-systems to Lie and Courant algebroids
Liqiang Cai, Zhuo Chen, Zhixiong Chen +1
This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and…
math.NT2025
Distributions of Integral Points and Dedekind Zeta Values
Li Cai, Taiwang Deng
Let be the ring of integers for some number field . Let be a regular monic polynomial of degree . We study the asymptotic count of inte…
math.AT2025
On twisting functions
Li Cai
In this work, we unify different constructions of Kan's loop group for a reduced simplicial set topologically, by identifying its geometric realization as different…