An elementary proof for that all unoriented spanning surfaces of a link are related by attaching/deleting tubes and möbius bands

Akira Yasuhara

doi:10.1142/S0218216514500047

An elementary proof for that all unoriented spanning surfaces of a link are related by attaching/deleting tubes and möbius bands

Akira Yasuhara^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

Gordon and Litherland showed that all compact, unoriented, possibly non-orientable surfaces in S³ bounded by a link are related by attaching/deleting tubes and half twisted bands. In this note we give an elementary proof for this result.

Original language	English
Article number	1450004
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	1
DOIs	https://doi.org/10.1142/S0218216514500047
Publication status	Published - 2014 Jan
Externally published	Yes

Keywords

Reidemeister moves
S*-equivalence
Spanning surface
checkerboard surface

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216514500047

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title = "An elementary proof for that all unoriented spanning surfaces of a link are related by attaching/deleting tubes and m{\"o}bius bands",

abstract = "Gordon and Litherland showed that all compact, unoriented, possibly non-orientable surfaces in S3 bounded by a link are related by attaching/deleting tubes and half twisted bands. In this note we give an elementary proof for this result.",

keywords = "Reidemeister moves, S*-equivalence, Spanning surface, checkerboard surface",

author = "Akira Yasuhara",

note = "Funding Information: The author is partially supported by a Grant-in-Aid for Scientific Research (C) (#23540074) of the Japan Society for the Promotion of Science.",

year = "2014",

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language = "English",

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journal = "Journal of Knot Theory and its Ramifications",

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AU - Yasuhara, Akira

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PY - 2014/1

Y1 - 2014/1

N2 - Gordon and Litherland showed that all compact, unoriented, possibly non-orientable surfaces in S3 bounded by a link are related by attaching/deleting tubes and half twisted bands. In this note we give an elementary proof for this result.

AB - Gordon and Litherland showed that all compact, unoriented, possibly non-orientable surfaces in S3 bounded by a link are related by attaching/deleting tubes and half twisted bands. In this note we give an elementary proof for this result.

KW - Reidemeister moves

KW - S-equivalence

KW - Spanning surface

KW - checkerboard surface

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An elementary proof for that all unoriented spanning surfaces of a link are related by attaching/deleting tubes and möbius bands

Abstract

Keywords

ASJC Scopus subject areas

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