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Minimal Quasiregular Dilatation for Topological Branched Covers
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Minimal Quasiregular Dilatation for Topological Branched Covers. |
| 개인저자 | Scott, Maxime. |
| 단체저자명 | Indiana University. Mathematics. |
| 발행사항 | [S.l.]: Indiana University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 100 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-03B. Dissertation Abstract International |
| ISBN | 9781085759205 |
| 학위논문주기 | Thesis (Ph.D.)--Indiana University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
Advisor: Thurston, Dylan Paul. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | A classical theorem of Teichmuller states that given a homeomorphism f between Riemann surfaces, there exists a unique map g homotopic to f which minimizes the quasiconformal dilatation. We study an analog of this question for topological branched covers. Given a homotopy class of topological branched cover [f] between Riemann surfaces, what is the infimal quasiregular dilatation among [f]? This question can be phrased more geometrically as finding the distance between a point in Teichmuller space and a Hurwitz space FY of points which admit a conformal branched cover over the base surface. Using Schiffer variations to describe the tangent space of FY, we find some constraints on minimizing maps. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
