On the Cohomology of Two Stranded Braid Varieties
Algebraic Geometry
2024-03-25 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2312.03283,
title = {On the Cohomology of Two Stranded Braid Varieties},
author = {Tonie Scroggin},
journal= {arXiv preprint arXiv:2312.03283},
year = {2024}
}
Comments
27 pages, 10 figures