Distribution of periodic orbits in the homology group of a knot complement

Solly Coles; Richard Sharp

doi:10.1007/s10711-024-00927-x

Distribution of periodic orbits in the homology group of a knot complement

Solly Coles, Richard Sharp^*

^*Corresponding author for this work

Mathematics

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

Abstract

Consider a transitive Anosov flow on a closed 3-manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbits in the homology of the knot complement.

Original language	English (US)
Article number	75
Journal	Geometriae Dedicata
Volume	218
Issue number	3
DOIs	https://doi.org/10.1007/s10711-024-00927-x
State	Published - Jun 2024

Keywords

37C27
37D20
37D35
57K10
Anosov flow
Homology
Knot complement
Periodic orbits

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-024-00927-x

Cite this

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title = "Distribution of periodic orbits in the homology group of a knot complement",

abstract = "Consider a transitive Anosov flow on a closed 3-manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbits in the homology of the knot complement.",

keywords = "37C27, 37D20, 37D35, 57K10, Anosov flow, Homology, Knot complement, Periodic orbits",

author = "Solly Coles and Richard Sharp",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = jun,

doi = "10.1007/s10711-024-00927-x",

language = "English (US)",

volume = "218",

journal = "Geometriae Dedicata",

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T1 - Distribution of periodic orbits in the homology group of a knot complement

AU - Coles, Solly

AU - Sharp, Richard

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/6

Y1 - 2024/6

N2 - Consider a transitive Anosov flow on a closed 3-manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbits in the homology of the knot complement.

AB - Consider a transitive Anosov flow on a closed 3-manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbits in the homology of the knot complement.

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KW - 37D20

KW - 37D35

KW - 57K10

KW - Anosov flow

KW - Homology

KW - Knot complement

KW - Periodic orbits

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DO - 10.1007/s10711-024-00927-x

M3 - Article

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JO - Geometriae Dedicata

JF - Geometriae Dedicata

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ER -

Distribution of periodic orbits in the homology group of a knot complement

Abstract

Keywords

ASJC Scopus subject areas

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