The analogue of the Dedekind eta function for CY manifolds I

DOI10.1515/CRELLE.2006.078zbMath1118.14044arXivmath/0503231MaRDI QIDQ3437799

Jamey Bass, Andrey N. Todorov

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503231

zbMATH Keywords

Dedekind eta functionregularized determinantsCalabi-Yau metrics

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

• Hirzebruch's proportionality theorem in the non-compact case
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Enriques surfaces, analytic discriminants, and Borcherds's \(\Phi\) function
• Algebras, BPS states, and strings
• Analytic torsion for complex manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Maximal unipotent monodromy for complete intersection CY manifolds
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)