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A lower bound for the genus of self-amalgamation of Heegaard splittings

Fengchun Lei|Fengling Li
대한수학회 (The Korean Mathematical Society)|2011.01|대한수학회보 (Bulletin of the KMS)|제48권 제1호|pp. 67-77

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참고문헌

키워드

Heegaard distanceHeegaard genusself-amalgamation
주제분류수학

초록

Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M＇=M-ŋ(F), where ŋ(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＇∪_S＇W＇ of M＇ under some conditions on the distance of the Heegaard splitting.

Abstract

Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M＇=M-ŋ(F), where ŋ(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＇∪_S＇W＇ of M＇ under some conditions on the distance of the Heegaard splitting.

참고문헌 (21)

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