Autor:	Gompf, Robert E.
Rok vydání:	2016
Předmět:	Mathematics - Geometric Topology 57R55 57N13
Zdroj:	Geom. Topol. 21 (2017) 2475-2484
Druh dokumentu:	Working Paper
DOI:	10.2140/gt.2017.21.2475
Popis:	We construct a compact, contractible 4-manifold $C$, an infinite-order self-diffeomorphism $f$ of its boundary, and a smooth embedding of $C$ into a closed, simply connected 4-manifold $X$, such that the manifolds obtained by cutting $C$ out of $X$ and regluing it by powers of $f$ are all pairwise nondiffeomorphic. The manifold $C$ can be chosen from among infinitely many homeomorphism types, all obtained by attaching a 2-handle to the meridian of a thickened knot complement. Comment: 6 pages, 2 figures. To appear in Geometry and Topology (v3). Discussion of Question 1.6 (meridian twists and more general knots) updated. Other minor improvements
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.05090 Zobrazit plný text záznamu View this record from Arxiv