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Matt Cardwell

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Louis H Kauffman

University of Illinois at Chicago

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Jordan University of Science and Technology

University of Illinois at Chicago

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Papers by Matt Cardwell

Knot Invariants and Their Implications for Closed Plane Cur Ves

A dominating feature of knot theory is the problem of knot classification. In this paper, we hope... more A dominating feature of knot theory is the problem of knot classification. In this paper, we hope to simplify the task of classification through strong connections between Arnold's work with knot invariants and that of Xiao-Song Lin and Zhenghan Wang. We show that the defect of a plane curve associated with a flattened alternating knot may be considered an invariant

Knot Invariants and Their Implications for Closed Plane Cur Ves

A dominating feature of knot theory is the problem of knot classification. In this paper, we hope... more A dominating feature of knot theory is the problem of knot classification. In this paper, we hope to simplify the task of classification through strong connections between Arnold's work with knot invariants and that of Xiao-Song Lin and Zhenghan Wang. We show that the defect of a plane curve associated with a flattened alternating knot may be considered an invariant for alternating knots. We also give simple method of computing a certain Vassiliev knot invariant from Arnold's plane curve invariants and signed crossings.

Knot Invariants and Their Implications for Closed Plane Cur Ves

A dominating feature of knot theory is the problem of knot classification. In this paper, we hope... more A dominating feature of knot theory is the problem of knot classification. In this paper, we hope to simplify the task of classification through strong connections between Arnold's work with knot invariants and that of Xiao-Song Lin and Zhenghan Wang. We show that the defect of a plane curve associated with a flattened alternating knot may be considered an invariant

Knot Invariants and Their Implications for Closed Plane Cur Ves

A dominating feature of knot theory is the problem of knot classification. In this paper, we hope... more A dominating feature of knot theory is the problem of knot classification. In this paper, we hope to simplify the task of classification through strong connections between Arnold's work with knot invariants and that of Xiao-Song Lin and Zhenghan Wang. We show that the defect of a plane curve associated with a flattened alternating knot may be considered an invariant for alternating knots. We also give simple method of computing a certain Vassiliev knot invariant from Arnold's plane curve invariants and signed crossings.