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arXiv · 2312.03283

On the Cohomology of Two Stranded Braid Varieties

Tonie Scroggin
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Abstract

We compute the cohomologies of two strand braid varieties using the two-form present in cluster structures. We confirm these results with proof using Alexander and Poincar\'e duality. Further, we consider products of braid varieties and their interactions with the cohomologies.

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Tonie Scroggin. 2023-12-06. On the Cohomology of Two Stranded Braid Varieties. https://arxiv.org/abs/2312.03283

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