Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot

Naoyuki Monden; Reo Yabuguchi

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arXiv · 2503.06102

Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot

Naoyuki Monden·Reo Yabuguchi

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Abstract

We show that for any positive integer $h$, a knot surgered elliptic surface $E(n)_{T(2,2h+1)}$ for a $(2,2h+1)$-torus knot $T(2,2h+1)$ and the elliptic surface $E(1)_{2,2h+1}$ admit handle decompositions without 1- and 3-handles using the Kirby diagrams derived from Lefschetz fibrations on them.

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BibTeX RIS

Naoyuki Monden, Reo Yabuguchi. 2025-03-08. Knot surgered elliptic surfaces for a $(2,2h+1)$-torus knot. https://arxiv.org/abs/2503.06102

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