Results 91 to 100 of about 916 (188)
A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Bootstrapping non-commutative gauge theories from L∞ algebras
Journal of High Energy Physics, 2018 Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L∞ algebra, that governs not only the action of the symmetries but also the dynamics of the ...
Ralph Blumenhagen +3 more
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Non-commutative geometry, multiscalars, and the symbol map [PDF]
Nuclear Physics B - Proceedings Supplements, 1996 Starting from the concept of the universal exterior algebra in non-commutative differential geometry we construct differential forms on the quantum phase-space of an arbitrary system. They bear the same natural relationship to quantum dynamics which ordinary tensor fields have with respect to classical hamiltonian dynamics.
openaire +3 more sources
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Modular forms in the spectral action of Bianchi IX gravitational instantons
Journal of High Energy Physics, 2019 We prove a modularity property for the heat kernel and the Seeley-deWitt coefficients of the heat kernel expansion for the Dirac-Laplacian on the Bianchi IX gravitational instantons.
Wentao Fan +2 more
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Syntomic cohomology and real topological cyclic homology
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Simulating general relativity and non-commutative geometry by non-paraxial quantum fluids
New Journal of Physics, 2019 We show that quantum fluids enable experimental analogs of relativistic orbital precession in the presence of non-paraxial effects. The analysis is performed by the hydrodynamic limit of the Schrödinger equation.
Giulia Marcucci, Claudio Conti
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On Non-Commutative Multi-Rings with Involution
MathematicsThe primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto +2 more
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