Intersection of surfaces in 3-manifolds

Tahl Nowik

doi:10.1016/s0166-8641(97)00213-7

Intersection of surfaces in 3-manifolds

Tahl Nowik

Columbia University

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

Abstract

Given a pair of incompressible surfaces F and S in an irreducible 3-manifold M, we define a directed graph T which expresses the way F may be isotoped with respect to S. We study the properties of T. We use our results about T to study properties of the intersection between F and S.

Original language	English
Pages (from-to)	15-61
Number of pages	47
Journal	Topology and its Applications
Volume	92
Issue number	1
DOIs	https://doi.org/10.1016/s0166-8641(97)00213-7
State	Published - 1999
Externally published	Yes

Keywords

3-manifolds
Incompressible surfaces
Isotopy

Access to Document

10.1016/s0166-8641(97)00213-7

Cite this

@article{4884785f1f5147a4a5174954f6a2d81f,

title = "Intersection of surfaces in 3-manifolds",

abstract = "Given a pair of incompressible surfaces F and S in an irreducible 3-manifold M, we define a directed graph T which expresses the way F may be isotoped with respect to S. We study the properties of T. We use our results about T to study properties of the intersection between F and S.",

keywords = "3-manifolds, Incompressible surfaces, Isotopy",

author = "Tahl Nowik",

year = "1999",

doi = "10.1016/s0166-8641(97)00213-7",

language = "אנגלית",

volume = "92",

pages = "15--61",

journal = "Topology and its Applications",

issn = "0016-660X",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Intersection of surfaces in 3-manifolds

AU - Nowik, Tahl

PY - 1999

Y1 - 1999

N2 - Given a pair of incompressible surfaces F and S in an irreducible 3-manifold M, we define a directed graph T which expresses the way F may be isotoped with respect to S. We study the properties of T. We use our results about T to study properties of the intersection between F and S.

AB - Given a pair of incompressible surfaces F and S in an irreducible 3-manifold M, we define a directed graph T which expresses the way F may be isotoped with respect to S. We study the properties of T. We use our results about T to study properties of the intersection between F and S.

KW - 3-manifolds

KW - Incompressible surfaces

KW - Isotopy

UR - https://www.scopus.com/pages/publications/15944361916

U2 - 10.1016/s0166-8641(97)00213-7

DO - 10.1016/s0166-8641(97)00213-7

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:15944361916

SN - 0016-660X

VL - 92

SP - 15

EP - 61

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Intersection of surfaces in 3-manifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this