万有Teichmüller空间和Aharonov不变量.pdf

目录

摘要···················································································I

Abstract·················································································III

1研究背景及主要结果······························································1

1.1研究背景·······································································1

1.2主要结果·······································································5

1.2.1小Teichm¨uller空间······················································5

1.2.2Weil-PeterssonTeichm¨uller空间······································6

1.2.3BMOTeichm¨uller空间·················································7

1.2.4=3的情况和Lavie导数··············································10

2预备知识················································································11

2.1拟共形映射····································································11

2.1.1拓扑四边形的概念······················································11

2.1.2拟共形映射·······························································12

2.2万有Teichm¨uller空间·····················································13

2.2.1万有Teichm¨uller空间的概念··········································13

3Aharonov不变量和拟对称同胚的一些子类······························15

3.1Aharonov不变量····························································15

3.2拟对称同胚的一些子类··················································20

4高阶Bers映射的全纯性···························································23

4.1高阶Bers映射的连续性···········································