Cohomological Analysis of the Orlik-Solomon Algebra Associated with Graphs Free of 4-Cycles H^* (A_* (A_G ),a_1 -〖 a〗_t)
DOI:
https://doi.org/10.32792/jeps.v16i1.754الكلمات المفتاحية:
Hyperplane arrangement، hypersolvable arrangement، Orlik-Solomon algebra، cohomology of the Orlik-Solomon algebra، graph theory، hypersolvable graphالملخص
In this paper, the first non-vanishing cohomology of the Orlik-Solomon algebra, for a graph having no triangles was investigated where l is the number of edges in a graph G. Particularly, the third cohomology of the Orlik-Solomon algebra did not vanish if has chordless -cycles that contain the edges e1 and e2.
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الحقوق الفكرية (c) 2026 Journal of Education for Pure Science
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