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Bulletin of the London Mathematical Society 2005 37(2):285-296; doi:10.1112/S0024609304003832
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© London Mathematical Society

An Infinite Family of Non-Invertible Surfaces in 4-Space

Soichiro Asami and Shin Satoh

Graduate School of Science and Technology, Chiba University Yayoi-cho 1-33, Inage-ku, Chiba, 263-8522, Japan xasami{at}g.math.s.chiba-u.ac.jp, satoh{at}math.s.chiba-u.ac.jp

Received 17 June 2003.

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. 2000 Mathematics Subject Classification 57Q45, 57R42.


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