2012/01/28 by Motoo Tange, Tange, Motoo
Mathematics · #57R55 #57R65 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R55 #msc:57R65
paper · pdf · doi:10.48550/arxiv.1201.6000
13 pages, 17 figures
arxiv created 2012/01/28 · openalex publication_date 2012/01/28 · arxiv updated 2012/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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∈ \Bbb N∪ \∞\ and show there exists a plug with infinite order. Furthermore we show twisting (P,φ2) gives to enlargements of P compact exotic manifolds with boundary.