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pro vyhledávání: '"Xiaonan Ma"'
Autor:
Xiaonan Ma
Publikováno v:
Geometric Analysis ISBN: 9783030349523
The aim of this note is to explain a uniform approach of three different topics: Atiyah–Singer index theorem, holomorphic Morse inequalities and asymptotic expansion of Bergman kernel, by using heat kernels.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb9612360f4a6585d97de74ef650cdc7
https://doi.org/10.1007/978-3-030-34953-0_13
https://doi.org/10.1007/978-3-030-34953-0_13
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2017, 349 (3), pp.819-855. ⟨10.1007/s00220-016-2789-2⟩
Commun.Math.Phys., 2017, 349 (3), pp.819-855. 〈10.1007/s00220-016-2789-2〉
Commun.Math.Phys., 2017, 349 (3), pp.819-855. ⟨10.1007/s00220-016-2789-2⟩
Commun.Math.Phys., 2017, 349 (3), pp.819-855. 〈10.1007/s00220-016-2789-2〉
We study the generating functional, the adiabatic curvature and the adiabatic phase for the integer quantum Hall effect (QHE) on a compact Riemann surface. For the generating functional we derive its asymptotic expansion for the large flux of the mag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9aa06e8c85f7469e6e4e491e59d8e23
https://hal.archives-ouvertes.fr/hal-01554308
https://hal.archives-ouvertes.fr/hal-01554308
Publikováno v:
Comptes Rendus Mathematique. 349:977-981
In this Note, we use the theory of Toeplitz operators to obtain the leading term in the asymptotic expansion of the analytic torsion forms associated with a family of flat vector bundles that are the direct image of L p ,w hereL is a positive line bu
Autor:
Kefeng Liu, Xiaonan Ma
Publikováno v:
Mathematical Research Letters. 14:165-171
In this note we verify certain statement about the operator $Q\_K$ constructed by Donaldson in [3] by using the full asymptotic expansion of Bergman kernel obtained in [2] and [4].
Comment: 7 pages, modified the relation on $K\_p$ and $K\_{\omeg
Comment: 7 pages, modified the relation on $K\_p$ and $K\_{\omeg
Autor:
Xiaonan Ma, George Marinescu
Publikováno v:
Comptes Rendus Mathematique. 339:493-498
We study the near diagonal asymptotic expansion of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle over a compact symplectic manifold. We show how to compute the coefficients of the
Publikováno v:
Comptes Rendus Mathematique. 339:193-198
We study the asymptotics of the Bergman kernel and the heat kernel of the spin c Dirac operator on high tensor powers of a line bundle. To cite this article: X. Dai et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).
Autor:
George Marinescu, Xiaonan Ma
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::018257d0a5dd4d687758a843a73b75cc
http://arxiv.org/abs/0806.2370
http://arxiv.org/abs/0806.2370
Autor:
Weiping Zhang, Xiaonan Ma
We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection as in the local family index theorem.
Comment: C. R. Math. Acad. Sci. Paris
Comment: C. R. Math. Acad. Sci. Paris
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06cdd0be13fd7b4c86d6141b2af6fcb6
Publikováno v:
J. Differential Geom. 72, no. 1 (2006), 1-41
We study the asymptotic of the Bergman kernel of the spin$^c$ Dirac operator on high tensor powers of a line bundle.
Final version, 35 pages, J. Differential Geom. to appear
Final version, 35 pages, J. Differential Geom. to appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0a9bb0c499c8391c2001c093ae073bf
https://hal.archives-ouvertes.fr/hal-00084973
https://hal.archives-ouvertes.fr/hal-00084973
Autor:
Xiaonan Ma, George Marinescu
We establish the existence of the asymptotic expansion of the Bergman kernel associated to the spin-c Dirac operators acting on high tensor powers of line bundles with non-degenerate mixed curvature (negative and positive eigenvalues) by extending th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98cb4a373d5366bcac313e55d81e2f39
http://arxiv.org/abs/math/0511395
http://arxiv.org/abs/math/0511395