On 1-handle surgery and finite type invariants of surface knots
type: Item
instance of: scholarly article
title: On 1-handle surgery and finite type invariants of surface knots
zbMATH Open document ID: 0996.57014
DOI: 10.1016/S0166-8641(01)00119-5
author: Seiichi Kamada
published in: Topology and its Applications
publication date: 2002-08-22T00:00:00Z
review text: In this paper, a surface knot is a closed connected surface (possibly non-orientable) which is generically immersed in 4-space. The author defines a local operation called 1-handle surgery and he proves that this operation is an unknotting operation for generically immersed surfaces in 4-space. (In fact, the author proves here a non-orientable version of an unknotting theorem for oriented surfaces which he had proved in his paper [Osaka J. Math. 36, No. 1, 33-49 (1999; Zbl 0930.57029)].) The author uses then the operation of 1-handle surgery to investigate finite type invariants (in the form of Vassiliev modules) for generically immersed surfaces in 4-space.
reviewed by: Athanase Papadopoulos
Mathematics Subject Classification ID: 57Q45
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1787525
zbMATH Keywords: 2-knot
zbMATH Keywords: 1-handle surgery
zbMATH Keywords: unknotting operation
zbMATH Keywords: Vassiliev invariant
zbMATH Keywords: finite type invariant
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787525