The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G2and SPIN(7) STRUCTURES
Abstract
This paper focuses on a geometric structure defined by a system of closed exterior differential forms and develops a new approach to deformation problems of geometric structures. We obtain a criterion for unobstructed deformations from a cohomological point of view (Theorem 1.7). Further we show that under a cohomological condition, the moduli space of the geometric structures becomes a smooth manifold of finite dimension (Theorem 1.8). We apply our approach to the geometric structures such as Calabi–Yau, HyperKähler, G 2 and Spin(7) structures and then obtain a unified construction of smooth moduli spaces of these four geometric structures. We generalize the Moser's stability theorem to provide a direct proof of the local Torelli type theorem in these four geometric structures (Theorem 1.10).
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“For Calabi-Yau, G 2 and Spin (7) spaces, all zero modes seen in a linear analysis survive to the full nonlinear theory [60].”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [60]
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Cited by
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
Gravitational memory and compact extra dimensions
Ferko, C., Satishchandran, G., & Sethi, S. (2022) · Physical Review D · doi:10.1103/physrevd.105.024072 · Cited by 20
Metadata
- Authors
- GOTO, R.
- Affiliations
- Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560, Japan
- Venue
- International Journal of Mathematics
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2004-05
- Volume
- 15
- Issue
- 03
- Pages
- 211-257
- ISSN
- 0129-167X
- 1793-6519
- Cited by
- 15
- References
- 16
- Language
- en
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