Results 21 to 30 of about 4,686,287 (314)
The signature and cusp geometry of hyperbolic knots [PDF]
Geometry & Topology, 2021 We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphere, which is defined in terms of its cusp geometry.
A. Davies +3 more
semanticscholar +1 more source
Geometry of alternating links on surfaces
Transactions of the American Mathematical Society, 2020 We consider links that are alternating on surfaces embedded in a compact 3-manifold. We show that under mild restrictions, the complement of the link decomposes into simpler pieces, generalising the polyhedral decomposition of alternating links of Menasco.
Joshua A. Howie +2 more
openaire +3 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Compact phase space, cosmological constant, discrete time [PDF]
, 2015 We study the quantization of geometry in the presence of a cosmological constant, using a discretiza- tion with constant-curvature simplices. Phase space turns out to be compact and the Hilbert space finite dimensional for each link.
Rovelli, Carlo, Vidotto, Francesca
core +3 more sources
Geometry of biperiodic alternating links
Journal of the London Mathematical Society, 2018 A biperiodic alternating link has an alternating quotient link in the thickened torus. In this paper, we focus on semi-regular links, a class of biperiodic alternating links whose hyperbolic structure can be immediately determined from a corresponding Euclidean tiling. Consequently, we determine the exact volumes of semi-regular links.
Abhijit Champanerkar +2 more
openaire +4 more sources
Spatial variability in river sediments and its link with river channel geometry [PDF]
, 2006 Yoram Rubin, I. Lunt, John Bridge
openalex +2 more sources
Refilling meridians in a genus 2 handlebody complement [PDF]
, 2008 Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natural to ask whether geometric properties of the link complement say ...
Scharlemann, Martin
core +3 more sources
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry [PDF]
, 2001 Based on the observation that the moduli of a link variable on a cyclic group modify Connes' distance on this group, we construct several action functionals for this link variable within the framework of noncommutative geometry.
Dai, Jian, Song, Xing-Chang
core +6 more sources
The size of triangulations supporting a given link [PDF]
, 2000 Let T be a triangulation of S^3 containing a link L in its 1-skeleton. We give an explicit lower bound for the number of tetrahedra of T in terms of the bridge number of L.
Armentrout +15 more
core +5 more sources