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Minimal surfaces and Heegaard splittings of the three-torus
Journal article   Open access  Peer reviewed

Minimal surfaces and Heegaard splittings of the three-torus

Charles Frohman
Pacific journal of mathematics, Vol.124(no. 1), pp.119-130
1986
DOI: 10.2140/pjm.1986.124.119
url
https://doi.org/10.2140/pjm.1986.124.119View
Published (Version of record) Open Access

Abstract

An unknotting criterion for proper arcs in F × I is proved. This is then applied to show the topological uniqueness of least genus one-sided Heegaard splittings of the three-torus and of genus three two-sided minimal surfaces in a flat three-torus. © 1986 by Pacific Journal of Mathematics.
53C42 57N35

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