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http://dx.doi.org/10.4134/BKMS.b180383

BICOMPRESSIBLE SURFACES AND INCOMPRESSIBLE SURFACES

Saito, Toshio (Department of Mathematics Joetsu University of Education)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.2, 2019 , pp. 515-520 More about this Journal

Abstract

We give new evidence that "complicated" Heegaard surfaces behave like incompressible surfaces. More precisely, suppose that a closed connected orientable 3-manifold M contains a closed connected incompressible surface F which separates M into two (connected) components $M_1$ and $M_2$ . Let S be a Heegaard surface of M. Our result is that if the Hempel distance of S is at least four, then S is isotoped so that $S{\cap}M_i$ is incompressible for each i = 1, 2.

Keywords

bicompressible surface; incompressible surface; Heegaard surface; Hempel distance;

Citations & Related Records

Reference

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