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Common stabilizations of amalgamated Heegaard splitting and dual Heegaard splitting

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Abstract

We give an upper bound for the genus of a common stabilization of an amalgamated Heegaard splitting and a dual Heegaard splitting and show the upper bound is the best possible.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China

    K. Du

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Correspondence to K. Du.

Additional information

This work is supported by the National Natural Science Foundation of China (No. 11201202 and No. 11571110).

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Du, K. Common stabilizations of amalgamated Heegaard splitting and dual Heegaard splitting. Acta Math. Hungar. 158, 53–65 (2019). https://doi.org/10.1007/s10474-018-0892-x

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