Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors

Koda, Yuya; Ozawa, Makoto

doi:10.1090/S0002-9947-2014-06199-0

Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors
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by Yuya Koda and Makoto Ozawa; with an appendix by Cameron Gordon PDF

Trans. Amer. Math. Soc. 367 (2015), 2875-2904 Request permission

Abstract:

We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.

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