Complements of connected hypersurfaces in S4-Reference-Cited by-同舟云学术

Complements of connected hypersurfaces in S4

Published:2017-02 Issue:02 Volume:26 Page:1740014
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Hillman Jonathan A.¹

Affiliation:

1. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

Abstract

Let [Formula: see text] and [Formula: see text] be the complementary regions of a closed hypersurface [Formula: see text] in [Formula: see text]. We use the Massey product structure in [Formula: see text] to limit the possibilities for [Formula: see text] and [Formula: see text]. We show also that if [Formula: see text] then it may be modified by a 2-knot satellite construction, while if [Formula: see text] and [Formula: see text] is abelian then [Formula: see text] or [Formula: see text]. Finally we use TOP surgery to propose a characterization of the simplest embeddings of [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517400144

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