Exotic group actions on simply connected smooth 4-manifolds

TL;DR

This paper constructs infinite families of smooth 4-manifolds with nontrivial Seiberg-Witten invariants that admit exotic actions of finite cyclic groups, revealing new symmetries in four-dimensional topology.

Contribution

It introduces new infinite families of exotic finite cyclic group actions on simply connected smooth 4-manifolds with nontrivial Seiberg-Witten invariants.

Findings

Existence of infinite families of exotic cyclic group actions.

These actions occur on simply connected smooth 4-manifolds.

The manifolds have nontrivial Seiberg-Witten invariants.

Abstract

We produce infinite families of exotic actions of finite cyclic groups on simply connected smooth 4-manifolds with nontrivial Seiberg-Witten invariants.