Results 1 to 10 of about 66,482 (67)

Generalized Sums over Histories for Quantum Gravity I. Smooth Conifolds [PDF]

, 1993
This paper proposes to generalize the histories included in Euclidean functional integrals from manifolds to a more general set of compact topological spaces.
Amsterdamski, Anderson, Besse, Coleman, DeWitt, Donald M. Witt, Freedman, Gao, Gell-Mann, Geroch, Gibbons, Giddings, Glimm, Halliwell, Halliwell, Halliwell, Hartle, Hartle, Hartle, Hawking, Hawking, Hawking, Hirsch, Kirby, Kobayashi, Kristin Schleich, Nash, Page, Polchinski, Reed, Rourke, Schleich, Schleich, Spanier, Thurston, Uhlenbeck, Witt, Wright   +37 more
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Isotopic tiling theory for hyperbolic surfaces [PDF]

, 2020
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and punctured.
Evans, Myfanwy E., Kolbe, Benedikt
core   +3 more sources

Exotic Spaces in Quantum Gravity I: Euclidean Quantum Gravity in Seven Dimensions [PDF]

, 1999
It is well known that in four or more dimensions, there exist exotic manifolds; manifolds that are homeomorphic but not diffeomorphic to each other. More precisely, exotic manifolds are the same topological manifold but have inequivalent differentiable ...
Aloff S, Carlip S, Donald Witt, Freedman M, Freund P, Gibbons G, Gibbons G W, Gromoll D, Hawking S W, Hawking S W, Hirsch M W, Kirby R, Kreck M, Kreck M, Kristin Schleich, Milnor J, Moise E, Press W, Wallach N, Wang M   +19 more
core   +4 more sources

Generating Geodesic Flows and Supergravity Solutions [PDF]

, 2009
We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike $p$-brane solutions when they are lifted over a $p ...
A. Ploegh, Alekseevski, Andrianopoli, Andrianopoli, Andrianopoli, Andrianopoli, Arkani-Hamed, Arkani-Hamed, Bergman, Bergshoeff, Bergshoeff, Bergshoeff, Berkooz, Breitenlohner, Cardoso, Chemissany, Chen, Cortes, Cortés, Cremmer, Cremmer, Cvetic, Cvetic, de Wit, Djokovic, Duff, E. Bergshoeff, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Ferrara, Fre, Fre, Fre, Fre, Fre, Fre, Fre, Fre, Gaiotto, Gal'tsov, Gibbons, Gimon, Goldstein, Gunaydin, Gunaydin, Gutperle, Gutperle, Gutperle, Hawking, Hull, Janssen, Jones, Kallosh, Kallosh, Kallosh, Keurentjes, Keurentjes, Kleinschmidt, Li, Lu, M. Trigiante, Maldacena, Maldacena, Miller, Neitzke, Ohta, Ortin, Pioline, Polchinski, Rosseel, Strominger, Strominger, T. Van Riet, Townsend, W. Chemissany, Wang, Westra   +79 more
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Marriages of Mathematics and Physics: A Challenge for Biology [PDF]

, 2017
The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century.
Islami, Arezoo, Longo, Giuseppe
core   +4 more sources

Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality [PDF]

, 2006
We exploit the properties of the three-dimensional hyperbolic space to discuss a simplicial setting for open/closed string duality based on (random) Regge triangulations decorated with null twistorial fields.
C. Petronio, Claudio Dappiaggi, D. Gaiotto, E. Looijenga, E. Witten, F. Costantino, G. Mondello, H. Hamber, H. Murakami, H. Murakami, J. Ambjörn, J. Ambjörn, J.R. David, K. Krasnov, K. Strebel, M. Carfora, M. Mirzakhani, M. Mirzakhani, M. Mulase, Mauro Carfora, O. Aharony, P. Baird, P. Zograf, R. Benedetti, R. Gopakumar, R. Kaufmann, R.C. Penner, S. Baseilhac, S. Grushevsky, S. Moroianu, S. Moroianu, T. Ohtsuki (ed), Valeria L Gili, W.P. Thurston, Y.I. Manin   +34 more
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AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces

Mathematics
The present article explores the possibilities of using artificial neural networks to solve problems related to reconstructing complex geometric surfaces in Euclidean and pseudo-Euclidean spaces, examining various approaches and techniques for training ...
Kostadin Yotov, Emil Hadzhikolev, Stanka Hadzhikoleva, Mariyan Milev   +3 more
doaj   +1 more source

Intertwined Hamiltonians in Two Dimensional Curved Spaces

, 2004
The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that
Aghababaei Samani, Aghababaei Samani, Bakalov, Balazs, Cariñena, Cooper, Demircioğlu, Dobrev, Gutzwillwer, Kalnins, Keivan Aghababaei Samani, Kuru, Mateev, Milanoviv, Mina Zarei, Mostafazadeh   +15 more
core   +2 more sources

On post-Lie algebras, Lie--Butcher series and moving frames

, 2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
A. Connes, A. Iserles, A. Lundervold, A. Lundervold, A. Zanna, A.A. Agrachev, Alexander Lundervold, B. Owren, B. Vallette, C. Brouder, C. Reutenauer, D. Lewis, D. Lewis, E. Celledoni, E. Hairer, E.B. Vinberg, E.L. Mansfield, F. Chapoton, H. Berland, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, Hans Z. Munthe-Kaas, J.C. Butcher, J.C. Butcher, J.C. Novelli, J.L. Loday, K.C.H. Mackenzie, M. Degeratu, M. Fels, M. Fels, M. Gerstenhaber, M. Goze, N. Jacobson, P.E. Crouch, P.J. Olver, R. Grossman, R.B. Gardner, R.W. Sharpe, S. Kobayashi   +43 more
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Quasiconformal mappings on the Grushin plane

, 2017
We prove that a self-homeomorphism of the Grushin plane is quasisymmetric if and only if it is metrically quasiconformal and if and only if it is geometrically quasiconformal.
Gartland, Chris, Jung, Derek, Romney, Matthew   +2 more
core   +1 more source