Sharma, Divya: Tangent spaces to the Teichmüller space from the energy-conscious perspective. 2021
Inhalt
- Contents
- Introduction
- 1 Preliminaries
- 1.1 Some facts from hyperbolic geometry
- 1.2 The Teichmüller space, a kaleidoscopic view
- 1.3 Tangent spaces to the Teichmüller space
- 2 Explicit expressions of harmonic vector fields on H2
- 3 Going from the analytic description to the cohomological description
- 4 Going from the cohomological description to the analytic description
- 4.1 -invariant partition of unity on D
- 4.2 The Poisson map adapted to vector fields
- 4.3 A detailed map from H1(; g) to HQD(D, )
- 4.4 Open Problems
- A The genesis of the potential equation F=(z-)2(z)