Results 1 to 10 of about 259,701 (91)

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

, 2013
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
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Differential K-theory. A survey [PDF]

, 2011
Generalized differential cohomology theories, in particular differential K-theory (often called "smooth K-theory"), are becoming an important tool in differential geometry and in mathematical physics.
Bär, Christian, Lohkamp, Joachim, Schwarz, Matthias   +2 more
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Multiplicities of Noetherian deformations [PDF]

, 2015
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
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Arcs, Cords and Felts - Six instances of the Linearization Principle

, 2009
It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.Comment: to be published in "The American Journal of ...
Bruschek, Clemens, Hauser, Herwig
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Quantum Field Theory and Differential Geometry

, 2008
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry.
Freedman M., Niemi A. J., Polyakov A. M., Stora R., W. F. CHEN, Witten E.   +5 more
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Geometry and Physics of Null Infinity

, 2015
In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups, symplectic geometry ...
Ashtekar, Abhay
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Higher Structures in M-Theory [PDF]

, 2019
The key open problem of string theory remains its non-perturbative completion to M-theory. A decisive hint to its inner workings comes from numerous appearances of higher structures in the limits of M-theory that are already understood, such as higher ...
Akrami Y., Aspinwall P. S., Awodey S., Baez J. C., Bagger J., Benini M., Bunke U., Carchedi D., Corfield D., D'Auria R., Danielsson U. H., Duff M. J., Duff M. J., Fiorenza D., Goerss P., Kapustin A., Lambek J., Lane S. Mac, Lawvere F. W., Lawvere W., Leinster T., Nikolaus T., Roytenberg D., Schreiber U., Schreiber U., Shulman M., Shulman M., Siegel W., Spalinski J., The Univalent Foundations Program, van Nieuwenhuizen P., Witten E.   +31 more
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Supersymmetric Oscillator: Novel Symmetries

, 2012
We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0 + 1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a
Dirac P. A. M., Malik R. P., Malik R. P., Mukhi S., R. Kumar, R. P. Malik, Witten E., Zucchini R.   +7 more
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Differential Geometry of Microlinear Frolicher Spaces I [PDF]

, 2010
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
Nishimura, Hirokazu
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A Survey of the Differential Geometry of Discrete Curves [PDF]

, 2013
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward differential geometry is over a century old. However there is no general theory or methodology in the literature, despite the ubiquitous use of discrete curves
Carroll, Daniel, Hankins, Eleanor, Köse, Emek, Sterling, Ivan   +3 more
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