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Publications Influence

An extension of a theorem by Cheeger and Müller

- J. Bismut, W. Zhang, F. Laudenbach
- Mathematics
- 1992

© Société mathématique de France, 1992, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les… Expand

252 32- PDF

An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg

Abstract. We present a direct analytic approach to the Guillemin-Sternberg conjecture [GS] that `geometric quantization commutes with symplectic reduction', which was proved recently by Meinrenken… Expand

108 17

Geometric quantization for proper moment maps: the Vergne conjecture

We establish an analytic interpretation for the index of certain transversally elliptic symbols on non-compact manifolds. By using this interpretation, we establish a geometric quantization formula… Expand

41 10- PDF

Geometric quantization for proper actions

We first introduce an invariant index for G-equivariant elliptic differential operators on a locally compact manifold M admitting a proper cocompact action of a locally compact group G. It… Expand

32 9- PDF

Milnor and ray-singer metrics on the equivariant determinant of a flat vector bundle

In this paper, we extend our previous results relating Milnor and Ray-Singer metrics on the determinant of the cohomology of a flat complex vector bundle to the equivariant case. Thus, we extend Lott… Expand

84 8

Plant height–crown radius and canopy coverage–density relationships determine above-ground biomass–density relationship in stressful environments

- Xinfeng Dai, X. Jia, +4 authors G. Wang
- Geography, Environmental Science
- Biology Letters
- 23 August 2009

Debate continues in theoretical ecology over whether and why the scaling exponent of biomass–density (M–N) relationship varies along environmental gradients. By developing a novel geometric model… Expand

40 7

Large deviations for random sums of negatively dependent random variables with consistently varying tails

Let {Xk,k=1,2,...} be a sequence of negatively dependent random variables with common distribution F and finite expectation [mu]. Under the assumption that the tail probability is consistently… Expand

27 6

Geometric quantization for proper moment maps

- Xiaonan Ma, W. Zhang
- Mathematics
- 20 December 2008

Abstract 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… Expand

26 6

HOLOMORPHIC QUANTIZATION FORMULA IN SINGULAR REDUCTION

- W. Zhang
- Mathematics
- 9 November 1998

We show that the holomorphic Morse inequalities proved by Tian and the author [8, 9] are in effect equalities by refining the analytic arguments in [8, 9].

23 5- PDF

Superconnection and family Bergman kernels

Abstract We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection formalism as in the local family index theorem. To cite this article: X. Ma,… Expand

15 4- PDF

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