Results 31 to 40 of about 10,271 (122)

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Quantum Magnetic Algebra and Magnetic Curvature

, 2003
The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard structure on the Euclidean phase space.
Anderson R F V, Anderson R F V, Bayen F, Berezin F A, Berry M V, Bieliavsky P, Bieliavsky P, Cartan É, Dodonov V V, Dyson F J, Fedosov B, Fock V A, Folland G B, Gracia-Bondia J M, Grossmann A, Hormander L, Karasev M V, Karasev M V, Karasev M V, Karasev M V Osborn T A M A Vasiliev A M Semikhatov V N Zaikin, Kontsevich M, Loos O, M V Karasev, Marinov M S, Maslov V P, Maslov V P, Müller M, Omori H, Rawnsley J, Rieffel M A, Royer A, Schutz B, Stratonovich R L, Stratonovich R L, T A Osborn, Valatin J G, Varilly J C, Weinstein A, Weyl H   +38 more
core   +1 more source

Quantization of Nonstandard Hamiltonian Systems [PDF]

, 1995
The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of the quantum ...
Alejandro Corichi, Arnold V I, Ashtekar A, Ashtekar A, Ashtekar A, Bialynicki-Birula I, Brouzet R, Brylinski R, Corben H C, Corben H C, Corichi A, Dyson F J, Gotay M J, Hojman S A, Hojman S A, Hojman S A, Hughston L P, Hughston L P, Isham C J, Kibble T W B, Kibble T W B, Kodaira K, Marsden J E, Michael P Ryan, Mielnik B, Wald R M, Woodhouse N J M   +26 more
core   +3 more sources

On quantum ergodicity for higher‐dimensional cat maps modulo prime powers

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley   +1 more source

Dynamics as Shadow of Phase Space Geometry [PDF]

, 1996
Starting with the generally well accepted opinion that quantizing an arbitrary Hamiltonian system involves picking out some additional structure on the classical phase space (the {\sl shadow} of quantum mechanics in the classical theory), we describe ...
Klauder, J. R., Maraner, P.
core   +2 more sources

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Geometry Quantization from Supergravity: the case of "Bubbling AdS"

, 2005
We consider the moduli space of 1/2 BPS configurations of type IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), and quantize it directly from the supergravity action, around any point in the moduli space.
Maoz, Liat, Rychkov, Vyacheslav S.
core   +2 more sources

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity [PDF]

, 2012
We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism.
Diaz-Polo, Jacobo, Pranzetti, Daniele
core   +3 more sources

Recursive Relations for the S‐matrix of Liouville Theory

Fortschritte der Physik, Volume 73, Issue 11, November 2025.
Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze, Lado Razmadze, Stefan Theisen   +2 more
wiley   +1 more source

Quantum Field Theory on Curved Noncommutative Spacetimes [PDF]

, 2011
We summarize our recently proposed approach to quantum field theory on noncommutative curved spacetimes. We make use of the Drinfel'd twist deformed differential geometry of Julius Wess and his group in order to define an action functional for a real ...
Schenkel, Alexander
core   +3 more sources