Hopf bands in arborescent Hopf plumbings
Filip Misev

TL;DR
This paper investigates the classification of Hopf bands in arborescent Hopf plumbings, revealing a connection to finite Coxeter groups and analyzing their homological and monodromic properties.
Contribution
It provides a classification of Seifert surfaces with finitely many Hopf bands, linking topological structures to algebraic Coxeter group classifications.
Findings
Finite classification of Hopf bands in certain Seifert surfaces
Connection between surface topology and Coxeter group theory
Insights into monodromy actions on Hopf bands
Abstract
For a positive Hopf plumbed arborescent Seifert surface , we study the set of Hopf bands , up to homology and up to the action of the monodromy. The classification of Seifert surfaces for which this set is finite is closely related to the classification of finite Coxeter groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics
