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Hyperbolic Surfaces and Their Teichmüller Spaces - Lecture 2
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- 1 Geometry, Groups and Dynamics GGD -2017
- 2 Hyperbolic surfaces and their Teichmuller spaces Lecture - 02
- 3 Last time
- 4 Teichmuller space
- 5 One more geometric facts
- 6 Collar lemma
- 7 Collar function
- 8 Picture of the hyperbolic surface
- 9 Corollary "Margules Lemma"
- 10 Today: Surface group representation
- 11 Recall
- 12 Fact
- 13 Proper discontinuous action
- 14 Consequence - Corollary
- 15 Examples
- 16 Two Remarks
- 17 Proposition
- 18 A hyperbolic metric on S is a geometric structure modelled on PSL2IR, H2
- 19 Global description
- 20 Developing map
- 21 Holonamy representation
- 22 Note
- 23 Corollary
- 24 Proof
- 25 Proposition
- 26 Why continuous?
- 27 Fact 1
- 28 Fact 2
