Boundary-sum irreducible finite order corks

TL;DR

This paper constructs boundary-sum irreducible finite order corks with Stein structures for any positive integer n and verifies some admit hyperbolic boundary, advancing understanding of corks in 4-manifold topology.

Contribution

It introduces boundary-sum irreducible ${f Z}_n$-corks with Stein structures for all positive integers n, expanding the class of known corks in 4-manifold topology.

Findings

Existence of boundary-sum irreducible ${f Z}_n$-corks for all n

Construction of corks with Stein structures

Some corks admit hyperbolic boundary verified by HIKMOT

Abstract

We prove for any positive integer $n$ there exist boundary-sum irreducible ${\mathbb Z}_n$-corks with Stein structure. Here `boundary-sum irreducible' means the manifold is indecomposable with respect to boundary-sum. We also verify that some of the finite order corks admit hyperbolic boundary by HIKMOT.