This article surveys recent developments on Hessenberg varieties, emphasizing some of the rich connections of their cohomology and combinatorics. In particular, we will see how hyperplane arrangements, representations of symmetric groups, and Stanley’s chromatic symmetric functions are related to the cohomology rings of Hessenberg varieties. We also include several other topics on Hessenberg varieties to cover recent developments.
CITATION STYLE
Abe, H., & Horiguchi, T. (2020). A Survey of Recent Developments on Hessenberg Varieties. In Springer Proceedings in Mathematics and Statistics (Vol. 332, pp. 251–279). Springer. https://doi.org/10.1007/978-981-15-7451-1_10
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