Knot singularities of harmonic morphisms

Authors
Baird, P
Citation
P. Baird, Knot singularities of harmonic morphisms, P EDIN MATH, 44, 2001, pp. 71-85
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
44
Year of publication
2001
Part
1
Pages
71 - 85
Database
ISI
SICI code
0013-0915(200102)44:<71:KSOHM>2.0.ZU;2-W
Abstract
A harmonic morphism defined on R-3 with values in a Riemann surface is char acterized in terms of a complex analytic curve in the complex surface of st raight lines. We show how, to a certain family of complex curves, the singu lar set of the corresponding harmonic morphism has an isolated component co nsisting of a continuously embedded knot.