A study of molecular chains via some algebraic structures

Protein are linear molecular chains that often fold to function. We will introduce some algebraic structures, called bondles, modeled on projections of proteins. We will discuss colorings of these projections by bondles and construct the coloring invariant which is used to distinguish proteins. We will also discuss an enhancement of this invariant based on introducing some weights at the bonds thus giving the enhanced invariant as a state sum invariant.