Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces

Autor:	Yi Ni, Xingru Zhang
Rok vydání:	2019
Předmět:	Algebra Pure mathematics Dehn surgery Conjecture Mirror image Fibered knot Geometrization conjecture Mathematics::Symplectic Geometry Mathematics::Geometric Topology Mathematics
DOI:	10.1515/9780691185897-012
Popis:	We prove that there are exactly 6 Nil Seifert fibred spaces which can be obtained by Dehn surgeries on non-trefoil knots in S^3, with {60, 144, 156, 288, 300} as the exact set of all such surgery slopes up to taking the mirror images of the knots. We conjecture that there are exactly 4 specific hyperbolic knots in S^3 which admit Nil Seifert fibred surgery. We also give some more general results and a more general conjecture concerning Seifert fibred surgeries on hyperbolic knots in S^3.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e8375c57ce39c04e7ad797ea889c4e3c https://doi.org/10.1515/9780691185897-012 Zobrazit plný text záznamu