Thesis
G2-moduli spaces: geometry, periods and degenerate limits
- Abstract:
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The overarching theme of the present dissertation is the geometry of compact πΊβ-manifolds and their moduli spaces. This thesis can be roughly divided into two parts: the first one is concerned with the spectral properties of twisted connected sums, whilst the second one studies the geometry of πΊβ-moduli spaces.
In the first part, we prove a deformation theorem allowing to construct torsion-free πΊβ-structures with πΆα΅-estimates (for any π β₯ 1), and use it to deduce improved estimates...
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- Files:
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(Preview, Dissemination version, pdf, 1.3MB, Terms of use)
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Authors
Contributors
+ Lotay, J
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Role:
- Supervisor
- ORCID:
- 0000-0002-0456-4538
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Keywords:
- Subjects:
- Deposit date:
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2025-09-09
- ARK identifier:
Terms of use
- Copyright holder:
- Thibault Langlais
- Copyright date:
- 2025
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