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http://dx.doi.org/10.4134/BKMS.2011.48.1.067

A LOWER BOUND FOR THE GENUS OF SELF-AMALGAMATION OF HEEGAARD SPLITTINGS

Li, Fengling (DEPARTMENT OF MATHEMATICS HARBIN INSTITUTE OF TECHNOLOGY)
Lei, Fengchun (SCHOOL OF MATHEMATICS DALIAN UNIVERSITY OF TECHNOLOGY)

Publication Information

Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 67-77 More about this Journal

Abstract

Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - ${\eta}(F)$ , where ${\eta}(F)$ is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting $$V$ of M' under some conditions on the distance of the Heegaard splitting.

Keywords

Heegaard distance; Heegaard genus; self-amalgamation;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)

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