Toric manifolds over cyclohedra
Seonjeong Park
TL;DR
This paper investigates how the dihedral group acts on the equivariant cohomology of toric manifolds derived from cycle graphs, revealing symmetry properties and algebraic structures.
Contribution
It introduces a detailed analysis of the dihedral group's action on these specific toric manifolds' cohomology, a novel exploration in this context.
Findings
Characterization of dihedral group action on cohomology
Identification of symmetry patterns in toric manifolds
Insights into algebraic structures influenced by group actions
Abstract
We study the action of the dihedral group on the (equivariant) cohomology of the toric manifolds associated with cycle graphs.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Advanced Topics in Algebra