4 papers
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…
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…
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…
Rank growth of elliptic curves in and quartic extensions of the rationals
Daniel Keliher
We investigate the rank growth of elliptic curves from to and quartic extensions . In particular, we are interested in the quantity $\mathrm{…