Exotic Structures on smooth 4-manifolds

TL;DR

This paper surveys exotic smooth structures on 4-manifolds, focusing on cork structures and recent collaborative results, highlighting advances in understanding smooth topology in four dimensions.

Contribution

It provides a comprehensive overview of exotic structures and introduces recent collaborative findings related to cork structures in 4-manifolds.

Findings

Identification of new cork structures

Recent results on exotic smooth structures

Collaborative advances in 4-manifold topology

Abstract

A short survey of exotic smooth structutes on 4-manifolds is given with a special emphasis on the corresponding cork structures. Along the way we discuss some of the more recent results in this direction, obtained jointly with R.Matveyev, B.Ozbagci, C.Karakurt and K.Yasui.