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12
Geometric quantization on Kähler and symplectic manifolds
- International Congress of Mathematicians
, 2010
"... We explain various results on the asymptotic expansion of the Bergman ker-nel on Kähler manifolds and also on symplectic manifolds. We also review the “quantization commutes with reduction ” phenomenon for a compact Lie group action, and its relation to the Bergman kernel. ..."
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Cited by 10 (5 self)
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We explain various results on the asymptotic expansion of the Bergman ker-nel on Kähler manifolds and also on symplectic manifolds. We also review the “quantization commutes with reduction ” phenomenon for a compact Lie group action, and its relation to the Bergman kernel.
Formal geometric quantization II
, 2009
"... In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint Arxiv:0812.3989 by completely different means. ..."
Abstract
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Cited by 3 (0 self)
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In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint Arxiv:0812.3989 by completely different means.
Quantization commutes with REDUCTION IN THE NON-COMPACT SETTING: THE CASE OF HOLOMORPHIC DISCRETE SERIES
, 2012
"... In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo “Quantization commutes with reduction”. ..."
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Cited by 2 (0 self)
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In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo “Quantization commutes with reduction”.
KOMABA, TOKYO, JAPANTORUS FIBRATIONS AND LOCALIZATION OF INDEX III- EQUIVARIANT VERSION AND ITS APPLICATIONS
, 2010
"... fibrations and localization of index III – equivariant version and its applications by ..."
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fibrations and localization of index III – equivariant version and its applications by
FORMAL GEOMETRIC QUANTIZATION II
, 2009
"... In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint arXiv:0812.3989 by completely different means. ..."
Abstract
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In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint arXiv:0812.3989 by completely different means.
Transversal Index and
"... Abstract. For manifolds with boundary, we present a self-contained proof of Braverman’s result which gives an alternative interpretation of the transversal index through certain kind of ..."
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Abstract. For manifolds with boundary, we present a self-contained proof of Braverman’s result which gives an alternative interpretation of the transversal index through certain kind of