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Indexed by:期刊论文

Date of Publication:2011-04-01

Journal:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Included Journals:SCIE

Volume:20

Issue:4

Page Number:547-566

ISSN No.:0218-2165

Key Words:Heegaard genera; primitive; strongly irreducible

Abstract:Let M be a compact orientable 3-manifold, and A an essential annulus which cuts M into two 3-manifolds M(1) and M(2). We denote by g(M) the Heegaard genus of M. In this paper, we will give a lower bound to g(M) when M(i) contains no bounded essential surfaces with large Euler's characteristic, where all boundary components of the essential surfaces lie in A.