Results 1 to 10 of about 2,939,402 (89)

Splines in geometry and topology [PDF]

arXiv, 2015
This survey paper describes the role of splines in geometry and topology, emphasizing both similarities and differences from the classical treatment of splines. The exposition is non-technical and contains many examples, with references to more thorough treatments of the subject.
Alfeld, Andersen, Atiyah, Bahri, Bernšteĭn, Billera, Billera, Billera, Billey, Bowden, Bowden, Braden, Chang, Demazure, DiPasquale, Drellich, Gilbert, Goresky, Guillemin, Guillemin, Guillemin, Handschy, Harada, Heckman, Holm, Julianna Tymoczko, Kirwan, Knutson, Kolesnikov, Kostant, Payne, Schenck, Schenck, Tymoczko, Tymoczko   +34 more
arxiv   +8 more sources

Bounded geometry, growth and topology [PDF]

Journal de Mathématiques Pures et Appliquées, 2010
We characterize functions which are growth types of Riemannian manifolds of bounded geometry.Comment: 15 ...
Grimaldi, Renata, Pansu, Pierre
core   +4 more sources

Lagrangian Topology and Enumerative Geometry [PDF]

Geometry & Topology, 2010
We use the "pearl" machinery in our previous work to study certain enumerative invariants associated to monotone Lagrangian submanifolds.Comment: 86 ...
Audin, Audin, Auroux, Auroux, Auroux, Banyaga, Batyrev, Biran, Cho, Crauder, Dold, Fukaya, Fukaya, Fulton, Gerstenhaber, Givental, Givental, Kontsevich, McDuff, McDuff, Octav Cornea, Paul Biran, Scheja, Schwarz   +23 more
core   +5 more sources

Geometry and topology of complex hyperbolic and CR-manifolds [PDF]

, 1997
We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them surprisingly different from real hyperbolic manifolds with constant negative curvature.
Apanasov, Boris
arxiv   +4 more sources

On the geometry and the topology of parametric curves [PDF]

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020
We consider the problem of computing the topology and describing the geometry of a parametric curve in R. We present an algorithm, PTOPO, that constructs an abstract graph that is isotopic to the curve in the embedding space. Our method exploits the benefits of the parametric representation and does not resort to implicitization.
Katsamaki, Christina, Rouillier, Fabrice, Tsigaridas, Elias, Zafeirakopoulos, Zafeirakis   +3 more
openaire   +4 more sources

Topological string geometry

Nuclear Physics B, 2020
Perturbative string amplitudes are correctly derived from the string geometry theory, which is one of the candidates of a non-perturbative formulation of string theory. In order to derive non-perturbative effects rather easily, we formulate topological string geometry theory.
Yuji Sugimoto, Yuji Sugimoto, Matsuo Sato   +2 more
openaire   +3 more sources

Cyclopermutohedron: geometry and topology [PDF]

European Journal of Mathematics, 2016
The face poset of the permutohedron realizes the combinatorics of linearly ordered partitions of the set $[n]=\{1,...,n\}$. Similarly, the cyclopermutohedron is a virtual polytope that realizes the combinatorics of cyclically ordered partitions of the set $[n+1]$.
Ilia Nekrasov, Gaiane Panina, Alena Zhukova   +2 more
openaire   +3 more sources

Geometry and topological photonics

Journal of Optics, 2023
Abstract Topological photonics provides a powerful framework to describe and understand many nontrivial wave phenomena in complex electromagnetic platforms. The topological index of a physical system is an abstract global property that depends on the family of operators that describes the propagation of Bloch waves.
openaire   +2 more sources

Supernovae observations and cosmic topology [PDF]

, 2005
Two fundamental questions regarding our description of the Universe concern the geometry and topology of its 3-dimensional space. While geometry is a local characteristic that gives the intrinsic curvature, topology is a global feature that characterizes
Alcaniz, Allen, Aurich, Aurich, B. Mota, Bernshtein, Calberg, Calvão, Choudhury, Cornish, Cornish, Feldman, Gomero, Gomero, J. S. Alcaniz, Lachièze-Rey, Levin, Luminet, M. J. Rebouças, M. Makler, Nesseris, Pope, Rebouças, Riess, Roukema, Spergel, Starkman, Tegmark, Uzan, Weeks, Weeks   +30 more
core   +1 more source

Metric topology on the moduli space [PDF]

Applied General Topology 22(1) 2021, 11-15, 2020
We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an answer to the Tuschmann's question.
arxiv   +1 more source