Diffeomorphism types of simply connected $3$-dimensional Mori fibre spaces

TL;DR

This paper introduces a finite set of numerical invariants to classify the diffeomorphism types of simply connected three-dimensional Mori fibre spaces with torsion-free homology.

Contribution

It provides a new classification method based on invariants for a specific class of three-dimensional algebraic varieties.

Findings

Identifies finitely many invariants for classification.

Classifies diffeomorphism types of the specified Mori fibre spaces.

Focuses on spaces with torsion-free homology groups.

Abstract

In this article, we find finitely many numerical invariants to classify the diffeomorphism types of three dimensional simply connected Mori fibre spaces with torsion free homology groups.