Moment-angle manifolds, intersection of quadrics and higher dimensional contact manifolds

TL;DR

This paper introduces quasi moment-angle manifolds, a new class of contact manifolds in high dimensions, expanding the known examples and deepening the understanding of their geometric structures.

Contribution

It constructs new high-dimensional contact manifolds called quasi moment-angle manifolds, linking them to classical moment-angle manifolds and broadening the landscape of contact geometry.

Findings

Introduction of quasi moment-angle manifolds as new contact structures

Establishment of their relation to classical moment-angle manifolds

Construction of examples in arbitrarily large dimensions

Abstract

We construct new examples of contact manifolds in arbitrarily large dimensions. These manifolds which we call quasi moment-angle manifolds, are closely related to the classical moment-angle manifolds.