9 citations · 31 across the 27 of their papers we have counts for
7 papers · 1 filter
Knot Theory for Proteins: Gauss Codes, Quandles and Bondles
Colin Adams, Judah Devadoss, Mohamed Elhamdadi +1
Proteins are linear molecular chains that often fold to function. The topology of folding is widely believed to define its properties and function, and knot theory has been applied…
A Survey of Racks and Quandles: Some recent developments
Mohamed Elhamdadi
This short survey contains some recent developments of the algebraic theory of racks and quandles. We report on some elements of representation theory of quandles and ring theoreti…
Heap and Ternary Self-Distributive Cohomology
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
Heaps are para-associative ternary operations bijectively exemplified by groups via the operation . They are also ternary self-distributive, and have a…
Framed Knots
Mohamed Elhamdadi, Mustafa Hajij, Kyle Istvan
This article gives a foundational account of various characterizations of framed links in the -sphere.
Legendrian Rack Invariants of Legendrian Knots
Jose Ceniceros, Mohamed Elhamdadi, Sam Nelson
We define a new algebraic structure called Legendrian racks or racks with Legendrian structure, motivated by the front-projection Reidemeister moves for Legendrian knots. We provid…
Higher Arity Self-Distributive Operations in Cascades and their Cohomology
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
We investigate constructions of higher arity self-distributive operations, and give relations between cohomology groups corresponding to operations of different arities. For this p…