arXiv Open Access 2025

Salvetti complexes for conditional oriented matroids

Galen Dorpalen-Barry Dan Dugger Nicholas Proudfoot

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Abstrak

We give a new proof of the fact that the complement of the complexification of a real hyperplane arrangement is homotopy equivalent to the Salvetti complex of the associated oriented matroid. Our proof involves no choices, is relatively easy to visualize, and generalizes to the setting of conditional oriented matroids.

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math.CO

Penulis (3)

Galen Dorpalen-Barry

Dan Dugger

Nicholas Proudfoot

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Dorpalen-Barry, G., Dugger, D., Proudfoot, N. (2025). Salvetti complexes for conditional oriented matroids. https://arxiv.org/abs/2507.06365

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓