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pro vyhledávání: '"Louis Ioos"'
Autor:
Louis Ioos, Leonid Polterovich
Publikováno v:
International Journal of Mathematics.
We relate Berezin-Toeplitz quantization of higher rank vector bundles to quantum-classical hybrid systems and quantization in stages of symplectic fibrations. We apply this picture to the analysis and geometry of vector bundles, including the spectra
Autor:
Louis IOOS
Publikováno v:
Annals of Global Analysis and Geometry
We show that if a Fano manifold has discrete automorphism group and admits a polarized K\"ahler-Einstein metric, then there exists a sequence of anticanonically balanced metrics converging smoothly to the K\"ahler-Einstein metric. Our proof is based
Autor:
Louis Ioos
Publikováno v:
Journal of Functional Analysis
We show that a K\"ahler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized K\"ahler-Ricci solitons. The proof uses a semiclassical estimate on the spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff5ae1b8e52f4907c873c79294ae7096
Autor:
Louis Ioos
Publikováno v:
Letters in Mathematical Physics
We use the theory of Berezin-Toeplitz operators of Ma and Marinescu to study the quantum Hamiltonian dynamics associated with classical Hamiltonian flows over closed prequantized symplectic manifolds in the context of geometric quantization of Kostan
Autor:
Louis Ioos
Publikováno v:
Mathematische Zeitschrift. 290:539-559
We compute the second coefficient of the composition of two Berezin-Toeplitz operators associated with the $\text{spin}^c$ Dirac operator on a symplectic manifold, making use of the full-off diagonal expansion of the Bergman kernel.
accepted for
accepted for
Publikováno v:
The Journal of Geometric Analysis. 30:2615-2646
We study the Berezin–Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the origin on a symplectic manifold. We show that this quantization has the
Autor:
Louis Ioos
We introduce the notion of an isotropic quantum state associated with a Bohr-Sommerfeld manifold in the context of Berezin-Toeplitz quantization of general prequantized symplectic manifolds, and we study its semi-classical properties using the off-di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98c07384d5129cb2c7111c47c3cb0114
http://arxiv.org/abs/1802.09930
http://arxiv.org/abs/1802.09930
We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin-Toeplitz quantization, Donaldson's dynamical system on the space of Hermitian products on a com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::237cdb15a37dc0e56e32b259b4db0609