Link invariants are algebraic quantities that remain unchanged under isotopies of links, serving as powerful tools in distinguishing and classifying different links in knot theory. They are crucial in understanding the topological properties of links, allowing mathematicians to study links' equivalence and complexity without relying on visual representations.

Link Invariants

Link invariants

algebraic quantities

isotopies of links

Knot theory is a branch of topology that studies mathematical knots, which are embeddings of a circle in 3-dimensional space, focusing on their properties and classifications. It has applications in various fields, including biology, chemistry, and physics, where it helps in understanding the structure of DNA, molecular compounds, and the behavior of physical systems.

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