Analytic Torsion for Borcea–Voisin Threefolds
| Autor: | Ken-Ichi Yoshikawa |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Mathematical analysis Holomorphic function Automorphic form High Energy Physics::Theory Mathematics::Algebraic Geometry Torsion (algebra) Crepant resolution Analytic torsion Mathematics::Differential Geometry Invariant (mathematics) Abelian group Mathematics::Symplectic Geometry Orbifold Mathematics |
| Zdroj: | Progress in Mathematics ISBN: 9783319496368 |
| DOI: | 10.1007/978-3-319-49638-2_13 |
| Popis: | In their study of genus-one string amplitude F 1, Bershadsky–Cecotti–Ooguri–Vafa discovered a remarkable identification between holomorphic Ray–Singer torsion and instanton numbers for Calabi–Yau threefolds. The holomorphic torsion invariant of Calabi–Yau threefolds corresponding to F 1 is called BCOV invariant. In this paper, we establish an identification between the BCOV invariants of Borcea–Voisin threefolds and another holomorphic torsion invariants for K 3 surfaces with involution. We also introduce BCOV invariants for abelian Calabi–Yau orbifolds. Between Borcea–Voisin orbifold and its crepant resolution, we compare their BCOV invariants. |
| Databáze: | OpenAIRE |
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