Ozsvath-Szabo $d$-invariants of almost simple linear graphs

TL;DR

This paper presents an effective method for computing Ozsvath-Szabo d-invariants of infinite families of Brieskorn spheres, specifically those satisfying pq+pr-qr=1, advancing the understanding of their topological invariants.

Contribution

The paper introduces a new computational approach for d-invariants of certain Brieskorn spheres, enabling simultaneous calculations for infinite families.

Findings

Effective method for computing d-invariants

Applicable to infinite families of Brieskorn spheres

Simplifies calculations for specific topological invariants

Abstract

We describe an effective method for simultaneously computing of $d$-invariants of infinite families of Brieskorn spheres $\Sigma(p,q,r)$ with $pq+pr-qr=1$.