MATH 4060 - Applied Knot Theory

3 Credit Hours

Introduction to Knot Theory and its applications. Topics include: Seifert surface, genus, linking number, Kauffman bracket polynomial, Jones polynomial, tangles, braids, knotoids, entanglement of open curves in 3-space, entanglement in systems employing Periodic Boundary Conditions, entanglement of random walks, applications to DNA supercoiling, DNA recombination, entanglement in polymer melts and solutions.Prerequisites: MATH 2030 or MATH 3000 with a minimum grade of C, or department head approval.