Orbifolds and analytic torsions

DOI10.1090/S0002-9947-05-03847-XzbMath1065.58024OpenAlexW1747078193MaRDI QIDQ4654146

Xiaonan Ma

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03847-x

zbMATH Keywords

orbifoldanalytic torsionQuillen metricsarithmetic Riemann-Roch

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (22)

BCOV invariant and blow-up ⋮ The Weil-Petersson current for moduli of vector bundles and applications to orbifolds ⋮ Holomorphic Morse inequalities for orbifolds ⋮ Asymptotics of orbifold Bergman kernels: mixed curvature case ⋮ Analytic torsion for log-Enriques surfaces and Borcherds product ⋮ Motivic integration and birational invariance of BCOV invariants ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Bergman kernels on punctured Riemann surfaces ⋮ The asymptotics of the analytic torsion on CR manifolds with S1 action ⋮ Riemann-Roch isometries in the non-compact orbifold setting ⋮ K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant ⋮ Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists ⋮ Toeplitz operators on symplectic manifolds ⋮ Comparison between two analytic torsions on orbifolds ⋮ Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds ⋮ On the asymptotic expansion of Bergman kernel ⋮ On the full asymptotics of analytic torsion ⋮ Torsion type invariants of singularities ⋮ The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action ⋮ Generalized Bergman kernels on symplectic manifolds of bounded geometry ⋮ Orbifold Submersion and Analytic Torsions ⋮ Quantization and isotropic submanifolds

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