Titlebook: Geometry, Analysis and Probability; In Honor of Jean-Mic Jean-Benoît Bost,Helmut Hofer,Weiping Zhang Book 2017 Springer International Publi

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On the Analytic Torsion of Hyperbolic Manifolds of Finite Volume,d trace of heat operators. We use the Selberg trace formula to study the asymptotic behavior of the regularized trace for small time. The main result of the paper is a new approach to deal with the weighted orbital integrals on the geometric side of the trace formula.

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,Analytic Torsion for Borcea–Voisin Threefolds,torsion and instanton numbers for Calabi–Yau threefolds. The holomorphic torsion invariant of Calabi–Yau threefolds corresponding to .. is called BCOV invariant. In this paper, we establish an identification between the BCOV invariants of Borcea–Voisin threefolds and another holomorphic torsion inva

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