1 Table of Contents: “...Braids and Knots -- Topological Quantities: Calculating Winding, Writhing, Linking, and Higher...”

2 Table of Contents: “...Eleni Panagiotou, Topological entanglement and its relation to polymer material properties...”

3 Table of Contents: “... dynamics and structure -- Stathis Antoniou and Sofia Lambropoulou, Topological surgery in nature.- PART...”

4 Subjects: “...Three-manifolds (Topology)...”

5 “...--ideas arising from the representation of weaving patterns. From this beginning, topological invariants...”