6 citations · 6 across the 4 of their papers we have counts for
4 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…
Infinite-order combinatorial Transverse Intersection Algebra TIA via the probabilistic wiggling model
Daniel An, Ruth Lawrence, Dennis Sullivan
This paper constructs a graded-commutative, associative, differential Transverse Intersection Algebra TIA {on the torus (in any dimension) with its cubical decomposition by using a…
The combinatorial transverse intersection algebra
Daniel An, Ruth Lawrence, Dennis Sullivan
This paper constructs (with challenging obstacles) on the three torus with its cubical decomposition: Firstly, a combinatorial graded intersection algebra (graded by the codimensio…
The Structure and Singularities of Arc Complexes
R. C. Penner
A classical combinatorial fact is that the simplicial complex consisting of disjointly embedded chords in a convex planar polygon is a sphere. For any surface F with non-empty boun…