A Gordon–Luecke-type argument for knots in lens spaces

Autor:	Antje Christensen
Rok vydání:	1998
Předmět:	Combinatorics Lens (geometry) Dehn surgery Mathematical analysis Geometry and Topology Type (model theory) Argument (linguistics) Mathematics::Symplectic Geometry Mathematics::Geometric Topology Mathematics Sign (mathematics)
Zdroj:	Topology. 37:935-944
ISSN:	0040-9383
DOI:	10.1016/s0040-9383(97)00081-5
Popis:	Certain knots in projective 3-space are shown not to allow nontrivial Dehn surgery that yields projective 3-space again. To do this, the techniques 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e246d3b23438024aaf265c7f5b69aa7 https://doi.org/10.1016/s0040-9383(97)00081-5 Zobrazit plný text záznamu Full Text from ScienceDirect