On the geometric and the algebraic rank of graph manifolds

Jennifer Schultens; Richard Weidmann

doi:10.2140/pjm.2007.231.481

On the geometric and the algebraic rank of graph manifolds

Jennifer Schultens, Richard Weidmann

School of Mathematical & Computer Sciences

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

18 Citations (Scopus)

Abstract

For any neN{double-struck} we construct graph manifolds of genus 4n whose fundamental group is 3n-generated.

Original language	English
Pages (from-to)	481-510
Number of pages	30
Journal	Pacific Journal of Mathematics
Volume	231
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2007.231.481
Publication status	Published - Jun 2007

Keywords

3-manifolds
Graph manifold
Heegaard genus
Rank

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10.2140/pjm.2007.231.481

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title = "On the geometric and the algebraic rank of graph manifolds",

abstract = "For any neN{double-struck} we construct graph manifolds of genus 4n whose fundamental group is 3n-generated.",

keywords = "3-manifolds, Graph manifold, Heegaard genus, Rank",

author = "Jennifer Schultens and Richard Weidmann",

year = "2007",

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language = "English",

volume = "231",

pages = "481--510",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

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AU - Weidmann, Richard

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KW - 3-manifolds

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KW - Heegaard genus

KW - Rank

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DO - 10.2140/pjm.2007.231.481

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EP - 510

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

On the geometric and the algebraic rank of graph manifolds

Abstract

Keywords

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