Open Book Structures on Moment-Angle Manifolds $Z^{\mathbb C}(\Lambda)$ and Higher Dimensional Contact Manifolds

TL;DR

This paper constructs open book structures on moment-angle manifolds and introduces a new method for creating contact manifolds in high dimensions, expanding the toolkit for geometric topology.

Contribution

It provides a novel construction of open book decompositions on moment-angle manifolds and a new approach to generating high-dimensional contact manifolds.

Findings

Open book structures are established on moment-angle manifolds.

A new construction method for high-dimensional contact manifolds is introduced.

The results enable the study of complex geometric structures in higher dimensions.

Abstract

We construct open book structures on moment-angle manifolds and give a new construction of examples of contact manifolds in arbitrarily large dimensions.