Cover Image

Alternating links have at most polynomially many Seifert surfaces of fixed genus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hass, Joel, Thompson, Abigail, Tsvietkova, Anastasiia
Format:	Preprint
Published:	2018
Subjects:	Geometric Topology 57M25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Tangle decompositions of alternating link complements
by: Hass, Joel, et al.
Published: (2019)

Minimal genus Seifert surfaces for alternating links
by: Banks, Jessica E.
Published: (2011)

Polynomial algorithm for alternating link equivalence
by: Haider, Touseef, et al.
Published: (2024)

Polynomially many surfaces of fixed Euler characteristic in a hyperbolic 3-manifold
by: Lackenby, Marc, et al.
Published: (2026)

On definite lattices bounded by integer surgeries along knots with slice genus at most 2
by: Golla, Marco, et al.
Published: (2018)

Invariants for Turaev genus one links
by: Dasbach, Oliver T., et al.
Published: (2016)

Standard position for surfaces in link complements in arbitrary 3-manifolds
by: Purcell, Jessica S., et al.
Published: (2022)

Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces
by: Kauffman, Louis H., et al.
Published: (2021)

A prime decomposition theorem for string links in a thickened surface
by: Tarkaev, Vladimir
Published: (2024)

An analog of the {K}auffman bracket polynomial for knots in the non-orientable thickening of a non-orientable surface
by: Tarkaev, Vladimir
Published: (2022)

Average four-genus of two-bridge knots
by: Baader, Sebastian, et al.
Published: (2019)

The $ν^+$-equivalence classes of genus one knots
by: Sato, Kouki
Published: (2019)

New formulas for the Jones polynomial of a rational link
by: Diao, Yuanan, et al.
Published: (2026)

Oriented Disingquandles and Invariants of Oriented Dichromatic Singular links
by: Sheikh, Mohd Ibrahim, et al.
Published: (2023)

Polynomial bounds for surfaces in cusped 3-manifolds
by: Purcell, Jessica S., et al.
Published: (2023)

Tracefree ${\rm SL}(2,\mathbb{C})$-representations of Montesinos links
by: Chen, Haimiao
Published: (2016)

Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links
by: Chen, Haimiao
Published: (2017)

Region crossing change on surfaces
by: Cheng, Jiawei, et al.
Published: (2019)

Non-orientable 4-genus of torus knots
by: Fairchild, Megan, et al.
Published: (2024)

Markov theorem for transversal links
by: Orevkov, S. Yu., et al.
Published: (2001)

Cyclic branched covers of Seifert links and properties related to the $ADE$ link conjecture
by: Boyer, Steven, et al.
Published: (2024)

An analogue of Turaev comultiplication for knots in non-orientable thickening of a non-orientable surface
by: Tarkaev, Vladimir
Published: (2024)

Tangle Equations, the Jones conjecture, slopes of surfaces in tangle complements, and q-deformed rationals
by: Sikora, Adam S.
Published: (2020)

Prime theta-curves on minimal genus Seifert surfaces
by: Calcut, Jack S., et al.
Published: (2025)

Random meander model for links
by: Owad, Nicholas, et al.
Published: (2022)

On the skein polynomial for links
by: Jiang, Boju, et al.
Published: (2016)

Meander diagrams of knots and spatial graphs: proofs of generalized Jablan--Radović conjectures
by: Belousov, Yury, et al.
Published: (2018)

On the negative band number
by: Capovilla-Searle, Michele, et al.
Published: (2025)

Normalized volume spectra of right-angled hyperbolic polyhedra
by: Egorov, A., et al.
Published: (2026)

A geometric proof of the flyping theorem
by: Kindred, Thomas
Published: (2020)

Knot Logic and Arborescent Links
by: Kauffman, Louis H
Published: (2025)

A Gap in Stanfield's Proof of Sachs' Linear Linkless Embedding Conjecture
by: Naimi, Ramin
Published: (2026)

The tangle-valued 1-cocycle for knots
by: Fiedler, Thomas
Published: (2025)

Equivalence of flat-virtual diagrams
by: Popova, D. A.
Published: (2024)

L-space knots with tunnel number >1 by experiment
by: Anderson, Chris, et al.
Published: (2019)

Estimating distances in simplicial complexes with applications to 3-manifolds and handlebody-knots
by: Mondal, Sayantika, et al.
Published: (2025)

Signature Jumps and Alexander Polynomials for Links
by: Gilmer, Patrick M., et al.
Published: (2015)

Computing closed essential surfaces in 3-manifolds
by: Burton, Benjamin A., et al.
Published: (2018)

Extendable periodic automorphisms of closed surfaces over the 3-sphere
by: Wang, Chao, et al.
Published: (2021)

The bracket polynomial of the Celtic link shadow $CK_4^{2n}$
by: Ramaharo, Franck
Published: (2025)