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On the Cohomology of Two Stranded Braid Varieties

Published 6 Dec 2023 in math.AG and math.RT | (2312.03283v2)

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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