14.2k citations
- Eötvös Loránd UniversityHU334 papers
- Brookhaven National LaboratoryUS313 papers
- University of California, RiversideUS299 papers
- Columbia UniversityUS293 papers
- Stony Brook UniversityUS288 papers
- Centre National de la Recherche ScientifiqueFR277 papers
- University of TsukubaJP276 papers
- Seoul National UniversityKR263 papers
- Czech Technical University in PragueCZ256 papers
- Kurchatov InstituteRU255 papers
- Institute for High Energy PhysicsES254 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR251 papers
15 papers · 1 filter
Formal oscillatory integrals and deformation quantization
Alexander Karabegov
Following [14] and [12], we formalize the notion of an oscillatory integral interpreted as a functional on the amplitudes supported near a fixed critical point of the phase f…
A heat kernel proof of the index theorem for deformation quantization
Alexander Karabegov
We give a heat kernel proof of the algebraic index theorem for deformation quantization with separation of variables on a pseudo-Kahler manifold. We use normalizations of the canon…
On the phase form of a deformation quantization with separation of variables
Alexander Karabegov
Given a star product with separation of variables on a pseudo-Kaehler manifold, we obtain a new formal (1,1)-form from its classifying form and call it the phase form of the star p…
Deformation quantization with separation of variables of an endomorphism bundle
Alexander Karabegov
Given a holomorphic Hermitian vector bundle and a star-product with separation of variables on a pseudo-Kaehler manifold, we construct a star product on the sections of the endomor…
On Gammelgaard's formula for a star product with separation of variables
Alexander Karabegov
We show that Gammelgaard's formula expressing a star product with separation of variables on a pseudo-Kaehler manifold in terms of directed graphs without cycles is equivalent to a…
An invariant formula for a star product with separation of variables
Alexander Karabegov
We give an invariant formula for a star product with separation of variables on a pseudo-Kahler manifold.