5 citations · 8 across the 5 of their papers we have counts for
5 papers
Coding with the transverse intersection algebra
Ofir Aharoni, Daniel An, Alice Kwon +2
The concept of a fluid algebra was introduced by Sullivan over a decade ago as an algebraic construct which contains everything necessary in order to write down a form of the Euler…
The Y-Product
Alice Kwon, Ying Hong Tham
We present a topological construction that provides many examples of non-commutative Frobenius algebras that generalizes the well-known pair-of-pants. When applied to the solid tor…
Hyperbolicity of Augmented Links in the Thickened Torus
Alice Kwon, Ying Hong Tham
For a hyperbolic link K in the thickened torus with no bigons, we show that there is a decomposition of the complement of a link L, obtained from augmenting K, into torihedra. We f…
Fully Augmented Links in the Thickened Torus
Alice Kwon
In this paper we study the geometry of fully augmented link complements in the thickened torus and describe their geometric properties, generalizing the study of fully augmented li…
Complément to the Thurston 3D-Geometrization
Alice Kwon, Dennis Sullivan
Geometrization says `` any closed oriented three-manifold which is prime (not a connected sum) carries one of the eight Thurston geometries OR it has incompressible torus walls who…