Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)

From MaRDI portal
Publication:1173752

DOI10.1016/0040-9383(91)90032-YzbMath0787.14005OpenAlexW2055689552MaRDI QIDQ1173752

Henri A. Gillet, Christophe Soule

Publication date: 25 June 1992

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(91)90032-y




Related Items (43)

An arithmetic Riemann-Roch theoremMordell's conjecture over function fieldsSuperconnexions, indice local des familles, déterminant de la cohomologie et métriques de QuillenComparison of two equivariant \(\eta\)-formsAnalytic torsion forms for fibrations by projective curvesOne loop mass renormalization of massive states using pure spinor formalismFunctional determinants on spheres and sectorsOn the birational invariance of the BCOV torsion of Calabi-Yau threefoldsAnalytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formulaQuaternionic analytic torsion.Analytic torsion for surfaces with cusps. II: Regularity, asymptotics and curvature theoremThe generalized holomorphic analytic torsion for the integrable line bundlesThe arithmetic Grothendieck-Riemann-Roch theorem for general projective morphismsAn Adams-Riemann-Roch theorem in Arakelov geometrySingular spectrum Laplacian associated with the canonical metric on \(\mathbb P^1\) and the generalized theory of Fourier-Bessel seriesDirect images in non-archimedean Arakelov theoryAn arithmetic Riemann-Roch theorem in higher degreesComplex equivariant intersection, excess normal bundles and Bott-Chern currentsOn certain infinite dimensional aspects of Arakelov intersection theoryOrbifolds and analytic torsionsComplex immersions and Quillen metricsOn the spectral zeta functions of the Laplacians on the projective complex spaces and on the \(n\)-spheresAnalytic torsion of all vector bundles over an elliptic curveAnalytic torsion of Hirzebruch surfacesKoszul Complexes, Harmonic Oscillators, and the Todd ClassBCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structuresOn the full asymptotics of analytic torsionPrecise constants in bosonization formulas on Riemann surfaces. IOn the zeta function associated with the singular Laplacian \(\Delta_{\overline{\mathcal O(m)}_{\infty}}\)Unnamed ItemA generalized spectral theory for continuous metrics on compact Riemann surfacesFormes de torsion analytique et familles des submersions ISubmersions and equivariant Quillen metricsComplex curves of genus three, Kummer surfaces and Quillen metricsFunctoriality of real analytic torsion forms.Higher arithmetic \(K\)-theoryOrbifold Submersion and Analytic TorsionsReal embeddings and eta invariantsEquivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\)A vanishing theorem on arithmetic surfaces-constants and equivariant Arakelov–Euler characteristicsRiemann-Roch-Grothendieck and torsion for foliationsFamilies of equivariant immersions and analytic torsion forms




This page was built for publication: Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)