Critical Heegaard surfaces obtained by self-amalgamation
classification
🧮 math.GT
keywords
surfacescriticalconditionheegaardbachmandavidgiveindex
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Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper we give a sufficient condition and a necessary condition for self-amalgamated Heegaard surfaces to be critical.
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