Braids, Fibered Knots, and Concordance Questions

DOI10.1007/978-3-030-80979-9_7zbMath1502.53112arXiv2004.07445OpenAlexW4210430435MaRDI QIDQ5046172

Gage Martin, Katherine Raoux, Linh Truong, Keiko Kawamuro, Hannah Turner, Feride Ceren Köse, Diana Hubbard, Olga Plamenevskaya

Publication date: 27 October 2022

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07445

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Contact structures in 3 dimensions (57K33)

Related Items (1)

The upsilon invariant at 1 of 3-braid knots

Uses Software

• KnotInfo
• bfh_python

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Four-ball genus bounds and a refinement of the Ozsváth-Szabó tau invariant
• Fractional Dehn twists in knot theory and contact topology
• Admissible transverse surgery does not preserve tightness
• Essential open book foliations and fractional Dehn twist coefficient
• Khovanov homology and the slice genus
• A full-twist inequality for the \(\nu^{+}\)-invariant
• Monoids in the mapping class group
• Right-veering diffeomorphisms of compact surfaces with boundary. II.
• Knot Floer homology and the four-ball genus
• Ordering the braid groups
• Braid monodromy, orderings and transverse invariants
• Floer homology and fractional Dehn twists
• Concordances from connected sums of torus knots to \(L\)-space knots
• Essential laminations in 3-manifolds
• Bounds for the Thurston-Bennequin number from Floer homology
• Holomorphic disks and genus bounds
• Computations of the Ozsvath-Szabo knot concordance invariant
• The genus of embedded surfaces in the projective plane
• On the equivalence of Legendrian and transverse invariants in knot Floer homology
• A categorification of the Jones polynomial
• Quasi-right-veering braids and nonloose links
• Concordance homomorphisms from knot Floer homology
• Right-veering diffeomorphisms of compact surfaces with boundary
• Optimal cobordisms between torus knots
• Knot Floer homology detects fibred knots
• Transverse knots and Khovanov homology
• An endomorphism of the Khovanov invariant
• A survey on Heegaard Floer homology and concordance
• Computable bounds for Rasmussen’s concordance invariant
• BRAID ORDERING AND KNOT GENUS
• Quasipositivity as an obstruction to sliceness
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Knot Floer homology detects genus-one fibred knots
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• On closed 3-braids
• Braid Groups and Left Distributive Operations
• The four-genus of connected sums of torus knots
• Braids with as many full twists as strands realize the braid index
• Concordances from differences of torus knots to $L$-space knots
• On sums of torus knots concordant to alternating knots
• Categorified invariants and the braid group
• Overtwisted discs in planar open books
• RASMUSSEN INVARIANT, SLICE-BENNEQUIN INEQUALITY, AND SLICENESS OF KNOTS
• Heegaard Floer homology and genus one, one-boundary component open books
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

This page was built for publication: Braids, Fibered Knots, and Concordance Questions