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

作者:Li, Fengling*; Lei, Fengchun
来源:Bulletin of the Korean Mathematical Society, 2011, 48(1): 67-77.
DOI:10.4134/BKMS.2011.48.1.067

摘要

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' boolean OR(S') W' of M' under some conditions on the distance of the Heegaard splitting.

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