Hodge Numbers of O'Grady 6 Via Ng\^o Strings

TL;DR

This paper presents an alternative method to compute the Betti and Hodge numbers of O'Grady 6 type manifolds using Ng extsuperscript{o} Strings, offering new insights into their geometric properties.

Contribution

It introduces a novel approach employing Ng extsuperscript{o} Strings to calculate topological invariants of O'Grady 6 manifolds, differing from previous methods.

Findings

Successfully computes Betti and Hodge numbers using Ng extsuperscript{o} Strings

Provides new perspective on the topology of O'Grady 6 manifolds

Enhances understanding of the geometric structure of these manifolds

Abstract

We give an alternative computation of the Betti and Hodge numbers for manifolds of $OG6$ type using the method of Ng\^o Strings introduced by de Cataldo, Rapagnetta, and Sacc\`a.