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- W1982864946 abstract "Let A C ={H 1 ,…,H n } be a (central) arrangement of hyperplanes in C d and M ( A C ) the dependence matroid of the linear forms {θ H i ∈( C d ) ∗ : Ker (θ H i )=H i } . The Orlik–Solomon algebra OS ( M ) of a matroid M is the exterior algebra on the points modulo the ideal generated by circuit boundaries. The graded algebra OS ( M ( A C )) is isomorphic to the cohomology algebra of the manifold M = C d ⧹⋃ H∈ A C H . The Tutte polynomial T M (x,y) is a powerful invariant of the matroid M . When M ( A C ) is a rank 3 matroid and the θ H i are complexifications of real linear forms, we will prove that OS ( M ) determines T M (x,y) . This result partially solves a conjecture of Falk." @default.
- W1982864946 created "2016-06-24" @default.
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- W1982864946 date "2003-11-01" @default.
- W1982864946 modified "2023-09-26" @default.
- W1982864946 title "A note on Tutte polynomials and Orlik–Solomon algebras" @default.
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- W1982864946 doi "https://doi.org/10.1016/s0195-6698(03)00120-3" @default.
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