Boundary-sum irreducible finite order corks

2017/10/19 by Motoo Tange, Tange, Motoo · 1 citation
Mathematics · #57R55 #57R65 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57R55 #msc:57R65

paper · pdf · doi:10.48550/arxiv.1710.07034

11 pages, 7 figures

openalex publication_date 2017/10/19 · arxiv created 2017/10/25 · arxiv updated 2017/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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