Cover Image

On the Invalidity of Lemma 2.5 in our previous work on the Powell Conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cho, Sangbum, Koda, Yuya, Lee, Jung Hoon, Sekino, Nozomu
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology 57K30, 57K20, 20F05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Powell Conjecture for the genus-three Heegaard splitting of the $3$-sphere
by: Cho, Sangbum, et al.
Published: (2024)

A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere
by: Cho, Sangbum, et al.
Published: (2026)

Reducing spheres and weak reducing pairs for Heegaard surfaces in the $3$-sphere
by: Cho, Sangbum, et al.
Published: (2025)

Diagrammatic criteria for strong irreducibility of Heegaard splittings and finiteness of Goeritz groups
by: Koda, Yuya, et al.
Published: (2024)

The Goeritz groups of $(1,1)$-decompositions
by: Koda, Yuya, et al.
Published: (2024)

The primitive curve complex for a handlebody
by: Cho, Sangbum, et al.
Published: (2024)

Genus three Goeritz groups of connected sums of two lens spaces
by: Chen, Hao, et al.
Published: (2024)

Isotopy and equivalence of knots in 3-manifolds
by: Aceto, Paolo, et al.
Published: (2020)

Knots and non-orientable surfaces in 3-manifolds
by: Cattabriga, Alessia, et al.
Published: (2025)

Generating Infinitely Many Hyperbolic Knots with Plats
by: Engelhardt, Carolyn, et al.
Published: (2024)

Monodromies of surfaces in 3-manifolds, right-veeringness, and primeness of links
by: Feller, Peter, et al.
Published: (2025)

Homogeneous braids are visually prime
by: Feller, Peter, et al.
Published: (2024)

On random walks on the mapping class group
by: Hamenstädt, Ursula
Published: (2025)

Studying links via plats: split and composite links
by: Menasco, William W., et al.
Published: (2024)

The handlebody group is a virtual duality group
by: Petersen, Dan, et al.
Published: (2024)

Automorphisms of fine curve graphs for nonorientable surfaces
by: Kimura, Mitsuaki, et al.
Published: (2023)

Homeomorphisms of surfaces that preserve continuously differentiable curves
by: Booth, Katherine Williams
Published: (2024)

The groups $G_{n}^{k}$ and $2n$-gon tilings
by: Manturov, Vassily Olegovich, et al.
Published: (2024)

Graphs of Quasicircles and Quasiconformal Homeomorphisms
by: Booth, Katherine Williams, et al.
Published: (2026)

On symmetry and exterior problems of knotted handlebodies
by: Koda, Yuya, et al.
Published: (2025)

Symplectized Torelli mapping tori
by: Amorós, Jaume
Published: (2024)

Rigidity of highly twisted plat diagrams
by: Lazarovich, Nir, et al.
Published: (2025)

Congruence Subgroups of the Virtual Braid Group
by: Bloomquist, Wade, et al.
Published: (2025)

A lower bound on end-periodic stretch factors
by: Loving, Marissa, et al.
Published: (2025)

An example of semiquandle and u-polynomials for flat virtual knots via this semiquandle coloring
by: Sekino, Nozomu
Published: (2024)

Property $P_{\text{naive}}$ for big mapping class groups
by: Lou, Tianyi
Published: (2024)

Simple Connectivity of Spheres in the Curve Complex
by: Cao, Richard, et al.
Published: (2025)

The non-peripheral curve graph and divergence in big mapping class groups
by: Bar-Natan, Assaf, et al.
Published: (2026)

The slice-Bennequin inequality for the fractional Dehn twist coefficient
by: Feller, Peter
Published: (2022)

A universal non-embedding theorem for 3-manifolds
by: Belletti, Giulio, et al.
Published: (2026)

Effective hyperbolization and length bounds for Heegaard splittings
by: Feller, Peter, et al.
Published: (2024)

Bounds for the number of moves between pants decompositions, and between triangulations
by: Lackenby, Marc, et al.
Published: (2024)

Detecting right-veering diffeomorphisms
by: Rodriguez, Miguel Orbegozo
Published: (2023)

Fibered 3-manifolds and Veech groups
by: Leininger, Christopher J., et al.
Published: (2022)

Chord index for knots in thickened surfaces
by: Cheng, Zhiyun, et al.
Published: (2021)

The HOMFLYPT skein module of $S^1 \times S^2$ via braids
by: Diamantis, Ioannis
Published: (2025)

The Burau representation and shapes of polyhedra
by: Dlugie, Ethan
Published: (2022)

Automorphisms of smooth fine curve graphs
by: Booth, Katherine Williams
Published: (2024)

Slice disks modulo local knotting
by: Meier, Jeffrey, et al.
Published: (2025)

On binding sums of contact manifolds
by: Rodriguez, Miguel Orbegozo
Published: (2024)