Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space
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Publication:1373000
DOI10.1007/BF02551581zbMath0959.32026arXivalg-geom/9505024WikidataQ102980083 ScholiaQ102980083MaRDI QIDQ1373000
Subhashis Nag, Dennis Sullivan, Indranil Biswas
Publication date: 5 November 1997
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9505024
Determinantal varieties (14M12) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Determinants and determinant bundles, analytic torsion (58J52) Families, moduli of curves (analytic) (14H15)
Related Items
Thurston boundary of Teichmüller spaces and the commensurability modular group ⋮ Finite degree holomorphic covers of compact Riemann surfaces ⋮ The universal commensurability Busemann horofunction compactified Teichmüller space ⋮ Low-dimensional solenoidal manifolds ⋮ The Geometric Theory of the Fundamental Germ ⋮ The baseleaf preserving mapping class group of the universal hyperbolic solenoid ⋮ Approximate roots of pseudo-Anosov diffeomorphisms ⋮ Universal commensurability augmented Teichmüller space and moduli space ⋮ Uniformization of compact foliated spaces by surfaces of hyperbolic type via the Ricci flow ⋮ Commentaries on the paper "Solenoidal Manifolds" by Dennis Sullivan
Cites Work
- Unnamed Item
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- Groups with trivial virtual automorphism group
- La formule de Noether pour les surfaces arithmétiques. (The Noether formula for arithmetic surfaces)
- Algebraic geometry and the geometry of quantum strings
- Chern forms and the Riemann tensor for the moduli space of curves
- Determinants of Cauchy-Riemann operators on a Riemann surface
- Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
- Stability of projective varieties
- Infinite Grassmannians and moduli spaces of \(G\)-bundles
- Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
- An arithmetic Riemann-Roch theorem
- A local index theorem for families of $ \bar\partial$-operators on Riemann surfaces
- ON SOME INFINITE-DIMENSIONAL GROUPS. II
- The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
- Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces