Geometrical realization of diffeomorphic (homeomorphic) low dimensional complete intersections

TL;DR

This paper provides geometric examples of low-dimensional complete intersections that are diffeomorphic or homeomorphic, confirming a conjecture by Libgober and Wood and illustrating classification theorems in geometry.

Contribution

It offers explicit geometric realizations of classification results for complete intersections and confirms a longstanding conjecture in the field.

Findings

Confirmed Libgober and Wood's conjecture with an explicit example

Provided new geometric realizations of classification theorems

Enhanced understanding of diffeomorphic and homeomorphic properties in low dimensions

Abstract

This paper aims to give some examples of diffeomorphic (or homeomorphic) low-dimensional complete intersections, which can be considered as a geometrical realization of classification theorems about complete intersections. A conjecture of Libgober and Wood (Topology. 21, 1982, 469--482) will be confirmed by one of examples.