Dehn surgeries on middle/hyper doubly Seifert twisted torus knots
Bull. Korean Math. Soc. 2020 Vol. 57, No. 1, 1-30
Published online January 31, 2020
Sungmo Kang
Chonnam National University
Abstract : In this paper, we classify all twisted torus knots which are middle/hyper doubly Seifert. By the definition of middle/hyper doubly Seifert knots, these knots admit Dehn surgery yielding either Seifert-fibered spaces or graph manifolds at a surface slope. We show that middle/hyper doubly Seifert twisted torus knots admit the latter, that is, non-Seifert-fibered graph manifolds whose decomposing pieces consist of two Seifert-fibered spaces over the disk with two exceptional fibers.
Keywords : Dehn surgery, twisted torus knots, graph manifolds, middle/hyper doubly Seifert knots, R-R diagrams
MSC numbers : Primary 57M25
Supported by : This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2017R1D1A1B03029935).
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