Knot concordance is a relation between knots where two knots are considered concordant if they can be smoothly transformed into one another by a sequence of surgeries on their complements in three-dimensional space. This concept is significant in understanding the classification of knots, as it allows mathematicians to determine when two knots can be considered equivalent under certain conditions, leading to deeper insights in both topology and theoretical physics.
congrats on reading the definition of knot concordance. now let's actually learn it.