Dehn surgery along torus knots

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surgery on a torus knot has infinite order in the homology cobordism group of oriented homology 3-spheres.

Original languageEnglish (US)
Pages (from-to)193-202
Number of pages10
JournalTopology and its Applications
Volume83
Issue number3
StatePublished - 1998
Externally publishedYes

Fingerprint

Dehn Surgery
Torus knot
Homology
Cobordism
Invariant

Keywords

  • Homology cobordism
  • Seiberg-witten theory
  • Torus knot

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Dehn surgery along torus knots. / Saveliev, Nikolai.

In: Topology and its Applications, Vol. 83, No. 3, 1998, p. 193-202.

Research output: Contribution to journalArticle

@article{09b5a491d9794d55bdd7d8e4fef85536,
title = "Dehn surgery along torus knots",
abstract = "In this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surgery on a torus knot has infinite order in the homology cobordism group of oriented homology 3-spheres.",
keywords = "Homology cobordism, Seiberg-witten theory, Torus knot",
author = "Nikolai Saveliev",
year = "1998",
language = "English (US)",
volume = "83",
pages = "193--202",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Dehn surgery along torus knots

AU - Saveliev, Nikolai

PY - 1998

Y1 - 1998

N2 - In this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surgery on a torus knot has infinite order in the homology cobordism group of oriented homology 3-spheres.

AB - In this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surgery on a torus knot has infinite order in the homology cobordism group of oriented homology 3-spheres.

KW - Homology cobordism

KW - Seiberg-witten theory

KW - Torus knot

UR - http://www.scopus.com/inward/record.url?scp=0001170389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001170389&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001170389

VL - 83

SP - 193

EP - 202

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 3

ER -