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pro vyhledávání: '"Xiaonan Ma"'
Autor:
Xiaonan Ma
Publikováno v:
Arithmetic L-Functions and Differential Geometric Methods ISBN: 9783030652029
In this paper, we establish the curvature theorem of determinant line bundles for an orbifold Kahler fibration as an extension of Bismut–Gillet– Soule’s curvature theorem. Then we introduce Bismut–Kohler analytic torsion form for an orbifold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ad127fa64c6d92409e5e8d6f379255f
https://doi.org/10.1007/978-3-030-65203-6_6
https://doi.org/10.1007/978-3-030-65203-6_6
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 16:223-349
We use Toeplitz operators to evaluate the leading term in the asymptotics of the analytic torsion forms associated with a family of flat vector bundles $F_{p}$. For $p\in \mathbf{N}$, the flat vector bundle $F_{p}$ is the direct image of $L^{p}$, whe
Autor:
Jochen Brüning, Xiaonan Ma
Publikováno v:
Mathematische Zeitschrift. 273:1085-1117
In this paper, we derive the Cheeger-Muller/Bismut-Zhang theorem for manifoldswithboundaryandthegluingformulafortheanalytictorsionofflatvectorbundles in full generality, i.e., we do not assume that the Hermitian metric on the flat vector bundle is fl
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:
Xiaonan Ma, Weiping Zhang
Publikováno v:
Chinese Annals of Mathematics, Series B. 27:67-72
We first apply the method and results in the previous paper to give a new proof of a result (hold in $ {\bf C}/{\bf Z}$) of Gilkey on the variation of $\eta$-invariants associated to non self-adjoint Dirac type operators. We then give an explicit loc
Autor:
Xiaonan Ma
Publikováno v:
Israel Journal of Mathematics. 131:1-50
In this paper, we prove the functoriality of the analytic torsion forms of Bismut and Lott [BLo] with respect to the composition of two submersions.
Autor:
Xiaonan Ma
Publikováno v:
Séminaire de théorie spectrale et géométrie. 19:25-40
Assume temporarily that h is a flat metric on F . Let K be a smooth triangulation of Z . We can define the Reidemeistermetric ‖ ‖ λ(F ) on λ(F ). It is a basic result of Franz [13], Reidemeister [29], and de-Rham [30] (see also [25, §8]), that
Autor:
Xiaonan Ma, Jochen Brüning
Publikováno v:
Mathematische Zeitschrift. 278:615-616
In this note, we want to correct a mistake in the proof of [1, Theorem 2.2] which does not affect the statement of the theorem, though. In [1, (2.7)], we incorrectly state an isomorphism of complexes, thus we need to modify the corresponding argument
Autor:
Weiping Zhang, Xiaonan Ma
We present a new proof, as well as a ${\bf C/Q}$ extension, of the Riemann-Roch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the computations of the adiabatic limits of $\eta$-invariants associated to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df5db436d47ede787b009d46894bde5c
http://arxiv.org/abs/math/0405599
http://arxiv.org/abs/math/0405599
Autor:
Xiaonan Ma
Publikováno v:
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations ISBN: 9783034894296
In this paper, we generalize to a relative situation a result of Bismut [B2] on the Quillen metric associated to a singular fibration. To establish our results, we make essential use of the immersion theorem of Bismut for analytic torsion forms [B3].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2cdc38415e67025e4cf28ea2db59330
http://cds.cern.ch/record/419587
http://cds.cern.ch/record/419587