Cover Image

Unknotting number and connected sums: The knots $4_1$ and $5_1$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brittenham, Mark, Hermiller, Susan
Format:	Preprint
Published:	2026
Subjects:	Geometric Topology 57K10, 57K31
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Unknotting number is not additive under connected sum
by: Brittenham, Mark, et al.
Published: (2025)

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

Comparing $h$-genera, Bridge-1 genera and Heegaard genera of knots
by: Qiu, Ruifeng, et al.
Published: (2025)

The ${\rm SL}(2,\mathbb{C})$-character variety of an arborescent knot
by: Chen, Haimiao
Published: (2023)

High-dimensional components of ${\rm SL}(2,\mathbb{C})$-character varieties of prime knots
by: Chen, Haimiao
Published: (2025)

Milnor's invariants for knots and links in closed orientable 3-manifolds
by: Stees, Ryan
Published: (2023)

Quantum fundamental group of knot and its $SL_2$ representation
by: Murakami, Jun, et al.
Published: (2024)

Boundedness of Dehn surgery slopes admitting hyperbolic $\mathrm{PSL}(2,\mathbb{R})$-representations for two-bridge knots
by: Jiang, Shunjiang, et al.
Published: (2026)

FAMED by computer: proving the Andersen-Kashaev volume conjecture for 42,000 knots
by: Aribi, Fathi Ben, et al.
Published: (2025)

Geometric structures and $PSL_2(\mathbb{C})$ representations of knot groups from knot diagrams
by: Petersen, Kathleen L., et al.
Published: (2025)

The ropelength conjecture of alternating knots
by: Diao, Yuanan
Published: (2022)

Kauffman bracket skein module of the connected sum of two solid tori
by: Bakshi, Rhea Palak, et al.
Published: (2026)

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

Connected sum and crossing numbers of flat virtual knots
by: Chen, Jie
Published: (2023)

Unknotted Curves on Seifert Surfaces
by: Dey, Subhankar, et al.
Published: (2023)

Slope norm and an algorithm to compute the crosscap number
by: Jaco, William, et al.
Published: (2021)

Freely 2-periodic knots have two canonical components
by: Boyle, Keegan, et al.
Published: (2024)

Weights of essential surfaces in 2-bridge knot complements
by: Curtis, Cynthia L., et al.
Published: (2026)

From planar to annular to toroidal bracket polynomials for pseudo knots and links
by: Diamantis, Ioannis, et al.
Published: (2025)

Unknotting via null-homologous twists and multi-twists
by: Allen, Samantha, et al.
Published: (2022)

Computing Alexander polynomials for arborescent links
by: Chen, Haimiao
Published: (2026)

The ${\rm SL}(2,\mathbb{C})$-character variety of the magic $3$-manifold
by: Chen, Haimiao
Published: (2026)

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

The Benard-Conway invariant of two-component links
by: Liu, Zedan, et al.
Published: (2024)

The ${\rm SL}(2,\mathbb{C})$-character variety of the Borromean link
by: Chen, Haimiao, et al.
Published: (2022)

Kauffman bracket skein module of two families of Seifert manifolds
by: Liang, Minyi, et al.
Published: (2024)

Unknotting number 21 knots are slice in K3
by: Marengon, Marco, et al.
Published: (2022)

Crossing numbers of cable knots
by: Kalfagianni, Efstratia, et al.
Published: (2023)

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

$\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds, Reidemeister torsion and lens spaces
by: Bao, Yuanyuan
Published: (2024)

Torsion in Kauffman bracket skein module of a $4$-strand Montesinos knot exterior
by: Chen, Haimiao
Published: (2023)

Symmetry groups of hyperbolic links and their complements
by: Millichap, Christian, et al.
Published: (2024)

On skein invariants
by: Nikonov, Igor
Published: (2024)

On elementary invariants of genus one knots and Seifert surfaces
by: Lescop, Christine
Published: (2023)

Symmetric ribbon numbers of low-complexity knots
by: Akash, Sajid Raihan, et al.
Published: (2026)

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

Liftings of knots in $S_{g} \times S^{1}$ and covering of virtual knots
by: Kim, Seongjeong
Published: (2023)

The pretzel knot $P(4, -3, 5)$ is not squeezed
by: Iida, Nobuo, et al.
Published: (2025)

(1,1) almost L-space knots
by: Binns, Fraser, et al.
Published: (2023)

The stable crossing number of a twist family of knots and the satellite crossing number conjecture
by: Baker, Kenneth L., et al.
Published: (2024)