Cover Image

New Upper Bounds for Stick Numbers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cantarella, Jason, Rechnitzer, Andrew, Schumacher, Henrik, Shonkwiler, Clayton
Format:	Preprint
Published:	2025
Subjects:	Geometric Topology 57K10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Constructions of and Bounds on the Toric Mosaic Number
by: Heiney, Kendall, et al.
Published: (2025)

Constructing knots with low rational genera
by: McDonald, Clayton, et al.
Published: (2025)

Bounding the ribbon numbers of knots and links
by: Friedl, Stefan, et al.
Published: (2024)

Hyperbolicity of Staked Links and Lower Bounds on Their Volumes
by: Adams, Colin, et al.
Published: (2026)

Surface slices and homology spheres
by: McDonald, Clayton
Published: (2022)

Bounds in simple hexagonal lattice and classification of 11-stick knots
by: Bao, Yueheng, et al.
Published: (2022)

Knot complements decomposing into prisms
by: DeBlois, Jason, et al.
Published: (2025)

Smoothly slice links in $\mathbb{CP}^2 \# \overline{\mathbb{CP}^2}$
by: Marengon, Marco, et al.
Published: (2024)

A note on smoothly slice links in $S^2 \times S^2$
by: Marengon, Marco, et al.
Published: (2026)

New torsion patterns in Khovanov homology
by: Díaz, Raquel, et al.
Published: (2025)

Knots in circle bundles are determined by their complements
by: Cremaschi, Tommaso, et al.
Published: (2024)

Bounding the Dehn surgery number by 10/8
by: Liu, Beibei, et al.
Published: (2024)

Danceability, A New Definition of Bridge Index
by: Addison, Sol, et al.
Published: (2024)

On the values taken by slice torus invariants
by: Feller, Peter, et al.
Published: (2022)

Mixed-platonic 3-manifolds
by: Chesebro, Eric, et al.
Published: (2024)

The Jones Polynomial of a Connect Sum is Multiplicative: A New Approach Via Trip Matrices
by: Moran, Molly A., et al.
Published: (2025)

Taming Wild Knots with Mosaics
by: Deng, Mary Y., et al.
Published: (2026)

The KnotMosaics Package for SageMath
by: Deng, Mary Y., et al.
Published: (2026)

The distribution of genera of 2-bridge knots
by: Cohen, Moshe, et al.
Published: (2023)

Bounds on the mosaic number of Legendrian Knots
by: Kipe, Margaret, et al.
Published: (2024)

New invariants for virtual knots via spanning surfaces
by: Juhász, András, et al.
Published: (2022)

The Braid Indices of the Reverse Parallel Links of Alternating Knots
by: Diao, Yuanan, et al.
Published: (2023)

Pentagon equations, Delaunay triangulations and pure braid group invariant
by: Rohozhkin, Illia E.
Published: (2024)

Minimal generating sets of rotational Reidemeister moves
by: Becerra, Jorge, et al.
Published: (2025)

On grid homology for diagonal knots
by: Kubota, Hajime
Published: (2025)

A generating set of Reidemeister moves of oriented virtual knots
by: Ali, Danish
Published: (2025)

Band-unknotting numbers and connected sums of knots
by: Ghanbarian, Nakisa, et al.
Published: (2025)

Symmetry groups of flat fully augmented links and their complements
by: Millichap, Christian, et al.
Published: (2025)

Geometry for Kleinian Groups Generated by a Parabolic Pair
by: Chesebro, Eric
Published: (2025)

Classification of virtual links by arc shift move
by: Sahore, Aastha, et al.
Published: (2025)

A condition on the Jones polynomial for a family of positive links
by: Buchanan, Lizzie
Published: (2025)

The bridge index and the braid index for twist positive knots
by: Himeno, Keisuke
Published: (2025)

A knot-theoretic tour of dimension four
by: Beke, Márton, et al.
Published: (2025)

Applications of the L-space satellite formula
by: Chen, Daren, et al.
Published: (2025)

Basis for KBSM of fibered torus with multiplicity two exceptional fiber
by: Dabkowski, Mieczyslaw K., et al.
Published: (2025)

R-equivalence classes of $\mathrm{Rot} \mathbb{E}^{2}$-colorings of torus knots
by: Sato, Mai
Published: (2025)

KBSM of lens spaces $L(p,2)$ and $L(4k,2k+1)$
by: Dabkowski, Mieczyslaw K., et al.
Published: (2025)

Explicit Formulas for the Alexander Polynomial of Pretzel Knots
by: Belousov, Y.
Published: (2025)

Smoothly slice knots with Alexander polynomial 1 and high unknotting number
by: Lewark, Lukas
Published: (2025)

A bound on the equivariant unknotting number
by: Zampa, Sarah
Published: (2025)