Results 21 to 30 of about 4,725,478 (361)
Link homology theories from symplectic geometry
47 pages, 6 figures; revised ...
Ciprian Manolescu
+7 more sources
The signature and cusp geometry of hyperbolic knots [PDF]
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
THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
doaj +1 more source
Geometry of alternating links on surfaces
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
3D STRUCTURE ANALYSIS: ARCHITECTURE AS AN EXPRESSION OF THE TIES BETWEEN GEOMETRY AND PHILOSOPHY [PDF]
In recent decades many Geomatics-based methods have been created to reconstruct and visualize objects, and these include digital photogrammetry, Lidar, remote sensing and hybrid techniques. The methods used to process such data are the result of research
T. Bellone, L. Mussio, C. Porporato
doaj +1 more source
Rational Linking and Contact Geometry [PDF]
In the note we study Legendrian and transverse knots in rationally null-homologous knot types. In particular we generalize the standard definitions of self-linking number, Thurston-Bennequin invariant and rotation number. We then prove a version of Bennequin's inequality for these knots and classify precisely when the Bennequin bound is sharp for ...
John B. Etnyre, Kenneth L. Baker
openaire +2 more sources
Cohomological dimension, self-linking, and systolic geometry [PDF]
15 pages; to appear in Israel Journal of ...
Alexander Dranishnikov+2 more
openalex +5 more sources
Decomposition of Kolmogorov Complexity And Link To Geometry
A link between Kolmogorov Complexity and geometry is uncovered. A similar concept of projection and vector decomposition is described for Kolmogorov Complexity. By using a simple approximation to the Kolmogorov Complexity, coded in Mathematica, the derived formulas are tested and used to study the geometry of Light Cone.
Dara O. Shayda
openalex +4 more sources
ANALYSIS OF FRACTURE GEOMETRY IN FLUID DRAINAGE AFTER HYDRAULIC FRACTURING. CASE OF WINK MS-09 IN MAKELEKESE FIELD, D.R. CONGO [PDF]
In this paper, we analyze stimulation by hydraulic fracturing with the aim of establishing a relationship between fracture geometry and hydrocarbon drainage.
Rachidi Opuluku+5 more
doaj +1 more source