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The Noncommutative Phase Space: An Algebraic Approach to Differential Geometry
, 2016 In this thesis we will study the phase space, Ph(A), for an associative k-algebra A. The phase space can be considered as a noncommutative tangent bundle. We will derive algebraic notions of points, curves, tangent vectors and vector fields, in addition to study differentiation of vector fields, and look at what are called integrable distributions.
openaire +1 more source
Noncommutative topology and the world's simplest index theorem. [PDF]
Proc Natl Acad Sci U S A, 2010 van Erp E.
europepmc +1 more source
Computer algebra in gravity research. [PDF]
Living Rev Relativ, 2018 MacCallum MAH.
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INFORMATION-THEORETIC INEQUALITIES ON UNIMODULAR LIE GROUPS. [PDF]
J Geom Mech, 2010 Chirikjian GS.
europepmc +1 more source
Constructions and classifications of projective Poisson varieties. [PDF]
Lett Math Phys, 2018 Pym B.
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Quantum-Spacetime Phenomenology. [PDF]
Living Rev Relativ, 2013 Amelino-Camelia G.
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Orbispaces as differentiable stratified spaces. [PDF]
Lett Math Phys, 2018 Crainic M, Mestre JN.
europepmc +1 more source
Symplectic homology product via Legendrian surgery. [PDF]
Proc Natl Acad Sci U S A, 2011 Bourgeois F, Ekholm T, Eliashberg Y.
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Open source software for electric field Monte Carlo simulation of coherent backscattering in biological media containing birefringence. [PDF]
J Biomed Opt, 2012 Radosevich AJ +5 more
europepmc +1 more source