A plug with infinite order and some exotic 4-manifolds

Abstract

Every exotic pair in 4-dimension is obtained each other by twisting a {\it cork} or {\it plug} which are codimension 0 submanifolds embedded in the 4-manifolds. The twist was an involution on the boundary of the submanifold. We define cork (or plug) with order $p\in \mathbb{N}\cup \{\infty \}$ and show there exists a plug with infinite order. Furthermore we show twisting $(P,{\phi }^2)$ gives to enlargements of $P$ compact exotic manifolds with boundary.

13 pages, 17 figures

References in corpus (3)

• Variations on Fintushel-Stern Knot Surgery on 4-manifolds
• Stein 4-manifolds and corks
• Twisting 4-manifolds along RP^2

Cited by in corpus (2)

• Non-existence theorems on infinite order corks
• Infinite nonabelian corks