A GORDON-LUECKE-TYPE ARGUMENT FOR KNOTS IN LENS SPACES

Authors
CHRISTENSEN A
Citation
A. Christensen, A GORDON-LUECKE-TYPE ARGUMENT FOR KNOTS IN LENS SPACES, Topology, 37(5), 1998, pp. 935-944
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Topology → ACNP
ISSN journal
00409383
Volume
37
Issue
5
Year of publication
1998
Pages
935 - 944
Database
ISI
SICI code
0040-9383(1998)37:5<935:AGAFKI>2.0.ZU;2-8
Abstract
Certain knots in projective 3-space are shown not to allow nontrivial Dehn surgery that yields projective 3-space again. To do this, the tec hniques used by Gordon-Luecke for knots in S-3 are generalized to lens spaces. Graphs are constructed in nonorientable surfaces instead of 2 -spheres, and the sign for vertices is replaced by a sign for edges. ( C) 1998 Elsevier Science Ltd. All rights reserved.