Intersections of Loops in Two-Dimensional Manifolds. II. Free Loops

V. G. Turaev; O. Ya Viro; P. S. Landweber

doi:10.1070/SM1984v049n02ABEH002714

Intersections of Loops in Two-Dimensional Manifolds. II. Free Loops

V. G. Turaev
, O. Ya Viro
, P. S. Landweber

Mathematics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper the authors establish algebraic conditions necessary and sufficient for given free homotopy classes of loops in two-dimensional manifolds to be representable by simple nonintersecting loops.

Original language	English
Pages (from-to)	357-366
Number of pages	10
Journal	Mathematics of the USSR - Sbornik
Volume	49
Issue number	2
DOIs	https://doi.org/10.1070/SM1984v049n02ABEH002714
State	Published - Feb 28 1984

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10.1070/SM1984v049n02ABEH002714

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title = "Intersections of Loops in Two-Dimensional Manifolds. II. Free Loops",

abstract = "In this paper the authors establish algebraic conditions necessary and sufficient for given free homotopy classes of loops in two-dimensional manifolds to be representable by simple nonintersecting loops.",

author = "Turaev, \{V. G.\} and Viro, \{O. Ya\} and Landweber, \{P. S.\}",

year = "1984",

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AU - Turaev, V. G.

AU - Viro, O. Ya

AU - Landweber, P. S.

PY - 1984/2/28

Y1 - 1984/2/28

N2 - In this paper the authors establish algebraic conditions necessary and sufficient for given free homotopy classes of loops in two-dimensional manifolds to be representable by simple nonintersecting loops.

AB - In this paper the authors establish algebraic conditions necessary and sufficient for given free homotopy classes of loops in two-dimensional manifolds to be representable by simple nonintersecting loops.

UR - https://www.scopus.com/pages/publications/3042830116

U2 - 10.1070/SM1984v049n02ABEH002714

DO - 10.1070/SM1984v049n02ABEH002714

M3 - Article

SN - 0025-5734

VL - 49

SP - 357

EP - 366

JO - Mathematics of the USSR - Sbornik

JF - Mathematics of the USSR - Sbornik

IS - 2

ER -

Intersections of Loops in Two-Dimensional Manifolds. II. Free Loops

Abstract

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