Topological Interactions in Ring Polymers

Focusing on the behavior of ring polymers in dense solutions, this thesis uncovers significant insights into their interactions within complex environments. It explores both artificial and biologically inspired systems, highlighting the discovery that ring polymers can inter-penetrate, leading to a unique glassy state driven by topology. This unconventional state, characterized by universal properties from polymer physics, is poised to engage physicists across various fields, marking a notable advancement in the understanding of polymer behavior.