Results 51 to 60 of about 5,232,012 (321)

Open string theory and planar algebras [PDF]

, 2009
In this note we show that abstract planar algebras are algebras over the topological operad of moduli spaces of stable maps with Lagrangian boundary conditions, which in the case of the projective line are described in terms of real rational functions ...
Alling N L, Bisch D, Guionnet A Jones V F R Shlyakhtenko D, Jones V F R, Katz S, Liu C C M, Matilde Marcolli, May J P, Natanzon S, Natanzon S, Okounkov A, Seppälä M, Özgür Ceyhan   +12 more
core   +5 more sources

Singular projective varieties and quantization [PDF]

, 2000
By the quantization condition compact quantizable Kaehler manifolds can be embedded into projective space. In this way they become projective varieties. The quantum Hilbert space of the Berezin-Toeplitz quantization (and of the geometric quantization) is
A Karabegov, D Eisenbud, D Mumford, FA Berezin, H Hironaka, J Lipman, M Bordemann, M Bordemann, M Bordemann, M Schlichenmaier, PE Newstead, Ph Griffiths, St Berceanu   +12 more
core   +2 more sources

On the explicit geometry of a certain blowing-up of a smooth quadric

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Using the high symmetry in the geometry of a smooth projective quadric, we construct effectively new families of smooth projective rational surfaces whose nef divisors are regular, and whose effective monoids are finitely generated by smooth projective ...
De La Rosa-Navarro B. L., Failla G., Frías-Medina J. B., Lahyane M., Utano R.   +4 more
doaj   +1 more source

Einstein metrics in projective geometry

, 2013
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation.
A Čap, A Čap, A. R. Gover, A. Čap, AR Gover, DMJ Calderbank, F Leitner, H. R. Macbeth, J Mikes, P Nurowski, R Liouville, S Armstrong, T Branson, TN Bailey, TY Thomas, V Kiosak   +15 more
core   +3 more sources

Doing Euclidean Plane Geometry Using Projective Geometric Algebra [PDF]

, 2015
The article presents a new approach to euclidean plane geometry based on projective geometric algebra (PGA). It is designed for anyone with an interest in plane geometry, or who wishes to familiarize themselves with PGA.
Charles G. Gunn
semanticscholar   +1 more source

Arnold's Projective Plane and 𝑟-Matrices

Advances in Mathematical Physics, 2010
We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular 𝑟-matrices is the pencil of tangent lines of a quadratic curve on
K. Uchino
doaj   +1 more source

Projective geometry in characteristic one and the epicyclic category [PDF]

Nagoya mathematical journal, 2013
We show that the cyclic and epicyclic categories which play a key role in the encoding of cyclic homology and the lambda operations, are obtained from projective geometry in characteristic one over the infinite semifield of max-plus integers ℤmax. Finite-
A. Connes, C. Consani
semanticscholar   +1 more source

Cassirer and the Structural Turn in Modern Geometry

Journal for the History of Analytical Philosophy, 2018
The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff (1910). The aim here is twofold.
Georg Schiemer
doaj   +1 more source

Projective geometry and spatial reasoning for STEM learning

Frontiers in Education
Projective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary geometry to that of Euclid’s in school mathematics curricula
Jennifer S. Thom, Lynn M. McGarvey, Josh Markle, Josh Markle   +3 more
doaj   +1 more source

Carnap's Geometrical Methodology

Journal for the History of Analytical Philosophy, 2023
In this paper, I will offer a novel perspective on Carnapian explication, understanding it as a philosophical analogue of the transfer principle methodology that originated in nineteenth-century projective geometry.
Matteo De Benedetto
doaj