Essential surfaces of non-negative euler characteristic in genus two handlebody exteriors

Yuya Koda; Makoto Ozawa; Cameron Gordon

doi:10.1090/s0002-9947-2014-06199-0

Essential surfaces of non-negative euler characteristic in genus two handlebody exteriors

Yuya Koda, Makoto Ozawa, Cameron Gordon

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

Abstract

We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.

Original language	English
Pages (from-to)	2875-2904
Number of pages	30
Journal	Transactions of the American Mathematical Society
Volume	367
Issue number	4
DOIs	https://doi.org/10.1090/s0002-9947-2014-06199-0
Publication status	Published - 2015 Apr 1
Externally published	Yes

Keywords

Essential surface
Handlebody
Knot

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9947-2014-06199-0

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title = "Essential surfaces of non-negative euler characteristic in genus two handlebody exteriors",

abstract = "We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.",

keywords = "Essential surface, Handlebody, Knot",

author = "Yuya Koda and Makoto Ozawa and Cameron Gordon",

note = "Publisher Copyright: {\textcopyright} 2014, American Mathematical Society.",

year = "2015",

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day = "1",

doi = "10.1090/s0002-9947-2014-06199-0",

language = "English",

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AU - Koda, Yuya

AU - Ozawa, Makoto

AU - Gordon, Cameron

PY - 2015/4/1

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N2 - We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.

AB - We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.

KW - Essential surface

KW - Handlebody

KW - Knot

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U2 - 10.1090/s0002-9947-2014-06199-0

DO - 10.1090/s0002-9947-2014-06199-0

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VL - 367

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 4

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Essential surfaces of non-negative euler characteristic in genus two handlebody exteriors

Abstract

Keywords

ASJC Scopus subject areas

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