A lower bound for the double slice genus

Chen, Wenzhao

doi:10.1090/tran/8191

A lower bound for the double slice genus

Author: Wenzhao Chen
Journal: Trans. Amer. Math. Soc. 374 (2021), 2541-2558
MSC (2020): Primary 57K10, 57K31
DOI: https://doi.org/10.1090/tran/8191
Published electronically: February 2, 2021
MathSciNet review: 4223025
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Abstract: In this paper, we develop a lower bound for the double slice genus of a knot using Casson-Gordon invariants. As an application, we show that the double slice genus can be arbitrarily larger than twice the slice genus. As an analogue to the double slice genus, we also define the superslice genus of a knot, and give both an upper bound and a lower bound in the topological category.

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