3 papers
math.GT2026
Khovanov homology: pro-tangles, derived colimits and spectral sequences
Jian Liu, Kefeng Liu, Li Shen
This paper introduces pro-tangles, a natural generalization of classical tangles, which are functors from the Boolean cube to Bar-Natan's cobordism category. By employing the simpl…
math.AG2026
Degenerations and Stability of Kähler Structures on Calabi--Yau Manifolds
Kefeng Liu, Yang Shen
In this paper, we study the degeneration and stability of Kähler structures on Calabi--Yau manifolds, namely compact Kähler manifolds with trivial canonical bundles, from the vie…
math.AC2025
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…