A note on the wick of the Casson handles
type: Item
instance of: scholarly article
title: A note on the wick of the Casson handles
zbMATH Open document ID: 1026.57017
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2003-09-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108549
review text: The authors give the definition of the wick of a Casson handle and a geometric description of the wick of a simple Casson handle. A Casson handle is a special type of \(4\)-manifold. It has \(S^1\times B^2\) as a boundary, and an interior homeomorphic to \(\mathbb{R}^4\). The wick of the Casson handle is the image of \(S^1\times\{0\}\times [0,1)\) in the normal bundle to the boundary of the handle intersected with the interior of the handle. The wick provides an additional tool to visualize a Casson handle. The authors hope that this tool will eventually enable one to decide when a Casson handle is standard. Readers interested in this problem should also refer to \textit{Z. Bizaca} [Proc. Am. Math. Soc. 123, 1297-1302 (1995; Zbl 0845.57015)].
reviewed by: David Auckly
Mathematics Subject Classification ID: 57N13
zbMATH DE Number: 1985444
zbMATH Keywords: wick
zbMATH Keywords: Casson handle
zbMATH Keywords: 4-manifold
author: Valentin Poénaru
author: Corrado Tanasi
MaRDI profile type: Publication
cites work: Topological quantum field theories
cites work: An Explicit Family of Exotic Casson Handles
cites work: Q3998602
cites work: The topology of four-dimensional manifolds
cites work: TQFT and Whitehead's Manifold
cites work: Q4352073
cites work: An infinite set of exotic \({\mathbb{R}}^ 4\)'s.
cites work: Gauge theory for embedded surfaces. I
cites work: The genus of embedded surfaces in the projective plane
cites work: Q4011444
cites work: Q4027102
cites work: Q3732552
cites work: Knots and links and the sciences of nature: An introduction
cites work: Representations of the Whitehead manifold \(Wh^ 3\) and Julia sets
description: scientific article; zbMATH DE number 1985444