$KNOT knot

Latest papers

1. Catalan polynomials for the Wishart-Laguerre $\beta$-ensemble hep-th · 14 Oct · 1 hit

   …expression for Catalan polynomials. We also establish the connection between certain Catalan polynomials and knot theory.

2. Relative knot concordance math.GT · 14 Oct · 3 hits

   Motivated by the relative-slice problem in $4$-manifold topology, we define for a knot $R$ the notion of a relative knot concordance group $\mathcal{C}_R$ and analyze the structure of its…

3. Algebraic overtwistedness of contact $(+1)$-surgeries via augmented Floer theories math.SG · 14 Oct · 1 hit

   …algebraically overtwisted contact manifolds, vastly extending the authors' previous results: If a Legendrian knot in $(\mathbb{S}^3,\xi_{\mathrm{std}})$ admits an exact, oriented Lagrangian filling that is not a disk,…

4. Invariant factors from products of cyclotomic polynomials, with applications math.RA · 13 Oct · 2 hits

   …including abelianizations of cyclically presented groups, homology groups of cyclic branched covers of knots, adjacency matrices and shifted graph Laplacians, $K$-theory, and Smith forms of matrix powers. For…

5. Broadband non-thermal emission predictions based on 3D simulations of supernova explosions within active galactic nuclei jets astro-ph.HE · 13 Oct · 1 hit

   …luminosity budget and local conditions associated with these interactions could be enough to explain knots seen in kiloparsec scale jets at different energies. These conditions might also be suitable for the…

6. Environmental Dependence of Satellite Planarity and Orbital-Pole Coherence around Milky Way Analogues in a Hydrodynamical Cosmological Simulation astro-ph.GA · 12 Oct · 1 hit

   …pairs, systems whose shear eigenvalues match those reconstructed for the Local Group, and hosts in knots, filaments, sheets, and voids. Among the well-sampled environmental subsets, the shape and…

7. The symmetry group of Turk's head knots math.GT · 12 Oct · 3 hits

   For p, q >= 3 with gcd(p,q) = 1 we show that the symmetry group of the Turk's head knot Th(p,q), the closure of the braid (sigma_1 sigma_2^{-1} sigma_3 sigma_4^{-1} ... sigma_{p-1}^{+-1})^q,…

8. Knot Floer homology of fibered positive links math.GT · 12 Oct · 4 hits

   We determine the Maslov-graded next-to-top term of knot Floer homology for fibered positive links. Its rank in Maslov grading (-1) is the number of nontrivial…