The Weil-Petersson geometry of the moduli space ofSU(n≧3) (Calabi-Yau) manifolds I
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Kovalev has sketched a general deformation theory for asymptotically cylindrical Calabi-Yau manifolds, but his parameter count is not entirely accurate and he needs to assume an appropriate analog of the Tian-Todorov theorem, which seems still unknown.
“Indeed, Kovalev [35] has sketched a general deformation theory for asymptotically cylindrical Calabi-Yau manifolds, similar to Koiso's approach [33] in the compact case.However, his parameter count is not entirely accurate, and he needs to assume an appropriate analog of the Tian-Todorov theorem [51,55], which seems to be still unknown; cf.Corollary 4.3.”
From Gravitational instantons from rational elliptic surfaces (2011) · cites this paper as [55]
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Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765 · see citing works
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Gravitational instantons from rational elliptic surfaces
Hein, H.-J. (2011) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-2011-00723-6 · Cited by 87 · see citing works
- Authors
- Todorov, A. N.
- Affiliations
- University of California, Santa Cruz (US)
- Corresponding author
- Todorov, Andrey N.
- Venue
- Communications in Mathematical Physics
- Published
- 1989-12
- Volume
- 126
- Issue
- 2
- Pages
- 325-346
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1984804105
- Cited by
- 319
- References
- 1
- Citations by year
- 2026: 9 · 2025: 15 · 2024: 8 · 2023: 4 · 2022: 9 · 2021: 15 · 2020: 16 · 2019: 10 · 2018: 15 · 2017: 11 · 2016: 8 · 2015: 9 · 2014: 18 · 2013: 16 · 2012: 6
- FWCI
- 1.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometry and complex manifolds
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- Weil-Petersson metric, curvature, metric potentials, unobstructedness
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