The Universality of the Resonance Arrangement and Its Betti Numbers
The Universality of the Resonance Arrangement and Its Betti Numbers
Abstract The resonance arrangement $$\mathcal {A}_n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>A</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:math> is the arrangement of hyperplanes which has all non-zero 0/1-vectors in $$\mathbb {R}^n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:math> as normal vectors. It is the adjoint of the Braid arrangement and is also called …