Results 11 to 20 of about 235,705 (108)
Grope cobordism of classical knots [PDF]
, 2003 We explain the notion of a grope cobordism between two knots in a 3-manifold. Each grope cobordism has a type that can be described by a rooted unitrivalent tree.
Conant, Jim, Teichner, Peter
core +2 more sources
Topology-Preserving and Geometric Feature-Correction Watermarking of Vector Maps
IEEE Access, 2020 Digital watermarking is an effective method of vector map copyright protection. However, the topology and geometric features are potentially influenced by the disturbances of vertices caused by watermark embedding, thus reducing the availability of ...
Xu Xi +4 more
semanticscholar +1 more source
Virtual Knot Theory --Unsolved Problems
, 2005 This paper is an introduction to the theory of virtual knots and links and it gives a list of unsolved problems in this subject.Comment: 33 pages, 7 figures, LaTeX ...
Fenn, Roger +2 more
core +7 more sources
Knot Theory: from Fox 3-colorings of links to Yang-Baxter homology and Khovanov homology
, 2018 This paper is an extended account of my "Introductory Plenary talk at Knots in Hellas 2016" conference We start from the short introduction to Knot Theory from the historical perspective, starting from Heraclas text (the first century AD), mentioning R ...
CL Day +28 more
core +1 more source
, 2017 This is an expository paper, based on by a talk given at the AWM Research Symposium 2017. It is intended as a gentle introduction to geometric group theory with a focus on the notion of hyperbolicity, a theme that has inspired the field from its ...
B. H. BOWDITCH +7 more
core +1 more source
Degeneration of Heegaard genus, a survey [PDF]
, 2007 We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the ...
Bachman, David, Derby-Talbot, Ryan
core +5 more sources
Knots and distributive homology: from arc colorings to Yang-Baxter homology
, 2014 This paper is a sequel to my essay "Distributivity versus associativity in the homology theory of algebraic structures" Demonstratio Math., 44(4), 2011, 821-867 (arXiv:1109.4850 [math.GT]).
Przytycki, Jozef H.
core +1 more source
Pachner Move 3->3 and Affine Volume-Preserving Geometry in R^3
, 2005 Pachner move 3 ->3 deals with triangulations of four-dimensional manifolds. We present an algebraic relation corresponding in a natural way to this move and based, a bit paradoxically, on three-dimensional geometry.Comment: Published in SIGMA (Symmetry ...
Korepanov, I. G.
core +2 more sources
Probing mapping class groups using arcs
, 2006 The action of the mapping class group of a surface on the collection of homotopy classes of disjointly embedded curves or arcs in the surface is discussed here as a tool for understanding Riemann's moduli space and its topological and geometric ...
Penner, R. C.
core +1 more source
Improving the Geometric Topology of Geothermal Heat Exchangers in Oil Bore-Holes
E3S Web of Conferences, 2019 A review has been conducted of key trends in the development of geometric topology of geothermal heat exchangers. Authors proposed approaches to improving the designs and network structures for heat-transfer media circulation in the bottom-hole space of ...
M. Fyk +3 more
semanticscholar +1 more source