A categorification of the Jones polynomial (Q1975991)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A categorification of the Jones polynomial |
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A categorification of the Jones polynomial (English)
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10 May 2001
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The author associates to each diagram \(D\) of a link \(L\) in three-space a chain complex \(C(D)\) of graded \(Z[c]\)-modules, where \(c\) is an indeterminate of degree 2. The graded cohomology of \(C(D)\) is a link type invariant of \(L\) whose graded Euler characteristic determines the Kauffman bracket, and hence the Jones polynomial, of \(L\).
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link
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Kauffman bracket
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Euler characteristic
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