Arrangements and cohomology (Q1293432)
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scientific article; zbMATH DE number 1309755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arrangements and cohomology |
scientific article; zbMATH DE number 1309755 |
Statements
Arrangements and cohomology (English)
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10 October 1999
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This paper studies the Orlik-Solomon algebra \(A(M)\) of a matroid \(M\). The author studies the cohomology \(H^*(A,d_w)\) of \(A(M)\) with coboundary map \(d_w\) given by multiplication by a fixed element \(w\) of \(A^1\). The author describes the set \(R_1(A)=\{w \mid H^1(A(M)),d_w) \not=0 \}\) and uses several applications of this. Several examples are also presented.
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arrangement
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matroid
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Orlik-Solomon algebra
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Tutte polynomial
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0.9391345
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0.92899084
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0.9252212
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0.9244021
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0.9185622
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0.91625977
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