UT Dallas 2021 Graduate Catalog

MATH7309 - Knot Theory

MATH 7309 Knot Theory (3 semester credit hours) This course covers basics in combinatorial knot theory. Topics will include: ambient isotopy, basic invariants of knots and links in S3, polynomial invariants of knots and links, fundamental group of link complement, fundamental group of cyclic branched covers, Fox calculus, Alexander matrix, and categorification of polynomial invariants and their properties. Prerequisites: MATH 6310 and MATH 6311 or instructor consent required. (3-0) T