Intersection forms of almost-flat 4-manifolds

TL;DR

This paper computes the intersection forms of all 4-dimensional almost-flat manifolds, providing a comprehensive classification relevant to topology and geometry.

Contribution

It offers the first complete calculation of intersection forms for all 4D almost-flat manifolds, filling a gap in geometric topology.

Findings

Complete classification of intersection forms for these manifolds

Identification of topological invariants

Foundation for further geometric analysis

Abstract

We calculate intersection forms of all 4-dimensional almost-flat manifolds