Invariants of open books of links of surface singularities

TL;DR

This paper characterizes key invariants of open book decompositions associated with links of surface singularities, specifically for rational homology spheres realized as Milnor fibrations, advancing understanding of their topological structure.

Contribution

It provides a complete characterization of support genus, binding number, and norm for Milnor open books on links of surface singularities in rational homology spheres.

Findings

Support genus, binding number, and norm are fully determined for these open books.

The invariants are characterized within the class of Milnor fibrations.

Results apply specifically to links of surface singularities in rational homology spheres.

Abstract

In the present article we determine and characterize completely the support genus, the binding number and the norm of a page of an open book under the following restrictions: M is a rational homology sphere which can be realized as the link of a surface singularity. Moreover, we restrict ourselves to the collection of those open book decompositions which can be realized as Milnor fibrations determined by some analytic germ (the so-called Milnor open books).