Uniform bounds on harmonic Beltrami differentials and Weil–Petersson curvatures
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Martin Bridgeman
Abstract
In this article we show that for every finite area hyperbolic surface X of type
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1564410
Funding statement: Martin Bridgeman’s research was supported by NSF grant DMS-1564410. Yunhui Wu is partially supported by China’s Recruitment Program of Global Experts.
Acknowledgements
The authors would like to thank Jeffrey Brock, Ken Bromberg and Michael Wolf for helpful conversations on this project.
References
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Articles in the same Issue
- Frontmatter
- Eichler cohomology and zeros of polynomials associated to derivatives of L-functions
- Subgroups of elliptic elements of the Cremona group
- On derived equivalences and homological dimensions
- Area minimizing surfaces of bounded genus in metric spaces
- Half-space theorems for the Allen–Cahn equation and related problems
- Stability conditions on product varieties
- Uniform bounds on harmonic Beltrami differentials and Weil–Petersson curvatures
- Bergman–Einstein metrics, a generalization of Kerner’s theorem and Stein spaces with spherical boundaries
- On birational boundedness of foliated surfaces
Articles in the same Issue
- Frontmatter
- Eichler cohomology and zeros of polynomials associated to derivatives of L-functions
- Subgroups of elliptic elements of the Cremona group
- On derived equivalences and homological dimensions
- Area minimizing surfaces of bounded genus in metric spaces
- Half-space theorems for the Allen–Cahn equation and related problems
- Stability conditions on product varieties
- Uniform bounds on harmonic Beltrami differentials and Weil–Petersson curvatures
- Bergman–Einstein metrics, a generalization of Kerner’s theorem and Stein spaces with spherical boundaries
- On birational boundedness of foliated surfaces