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AN INFINITE FAMILY OF NON-INVERTIBLE SURFACES IN 4-SPACE

Published online by Cambridge University Press:  10 March 2005

SOICHIRO ASAMI  and
SHIN SATOH
SOICHIRO ASAMI
Affiliation:
Graduate School of Science and Technology, Chiba University, Yayoi-cho 1–33, Inage-ku, Chiba, 263–8522, Japanxasami@g.math.s.chiba-u.ac.jp, satoh@math.s.chiba-u.ac.jp
SHIN SATOH
Affiliation:
Graduate School of Science and Technology, Chiba University, Yayoi-cho 1–33, Inage-ku, Chiba, 263–8522, Japanxasami@g.math.s.chiba-u.ac.jp, satoh@math.s.chiba-u.ac.jp
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Abstract

A proof is given that for each non-negative integer $g$, there is an infinite family of knotted surfaces of genus $g$, none of which is ambient isotopic to itself with the orientation reversed.

Keywords

57Q4557R42
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 2 , March 2005 , pp. 285 - 296
Copyright
© The London Mathematical Society 2005

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