Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Xiaonan Ma"'
Publikováno v:
Journal of Symplectic Geometry. 18:1091-1126
It is known that a compact symplectic manifold endowed with a prequantum line bundle can be embedded in the projective space generated by the eigensections of low energy of the Bochner Laplacian acting on high $p$-tensor powers of the prequantum line
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
We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of bounded geometry. First, we establish the off-diagonal exponential es
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e81d01bbf185e84554a87147f092716
We prove an estimate for Donaldson's $Q$-operator on a prequantized compact symplectic manifold. This estimate is an ingredient in the recent result of Keller and Lejmi about a symplectic generalization of Donaldson's lower bound for the $L^2$-norm o
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Publikováno v:
Oberwolfach Reports. :425-521
The purpose of the workshop was to bring together mathematicians interested in ”quantization of manifolds” in a broad sense: given classical data, such as a Lie group G acting on a symplectic manifold M , construct a quantum version, that is a re
Autor:
Weiping Zhang, Xiaonan Ma
Publikováno v:
Comptes Rendus Mathematique. 347:389-394
We establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, we give a solution to a conjecture of Michele Vergn
Autor:
Xiaonan Ma, George Marinescu
Publikováno v:
Comptes Rendus Mathematique. 339:493-498
We study the near diagonal asymptotic expansion of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle over a compact symplectic manifold. We show how to compute the coefficients of the
Publikováno v:
Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩
Journal of Mathematical Physics, 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩
Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩
Journal of Mathematical Physics, 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and mul
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https://hal.archives-ouvertes.fr/hal-00872359
https://hal.archives-ouvertes.fr/hal-00872359
Autor:
Xiaonan Ma
Publikováno v:
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010).
We explain various results on the asymptotic expansion of the Bergman kernel on Kahler manifolds and also on symplectic manifolds. We also review the “quantization commutes with reduction” phenomenon for a compact Lie group action, and its relati
Autor:
Xiaonan Ma, Weiping Zhang
Publikováno v:
Acta Math. 212, no. 1 (2014), 11-57
We establish a geometric quantization formula for a Hamiltonian action of a compact Lie group acting on a noncompact symplectic manifold with proper moment map.
40 pages. Final version, to appear in Acta Mathematica
40 pages. Final version, to appear in Acta Mathematica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32d745744fcdd8be1fc1b1effb99d425
http://arxiv.org/abs/0812.3989
http://arxiv.org/abs/0812.3989