LDR | | 00000nam u2200205 4500 |
001 | | 000000434508 |
005 | | 20200226154722 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
020 | |
▼a 9781085759205 |
035 | |
▼a (MiAaPQ)AAI22619460 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Scott, Maxime. |
245 | 10 |
▼a Minimal Quasiregular Dilatation for Topological Branched Covers. |
260 | |
▼a [S.l.]:
▼b Indiana University.,
▼c 2019. |
260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 100 p. |
500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-03, Section: B. |
500 | |
▼a Advisor: Thurston, Dylan Paul. |
502 | 1 |
▼a Thesis (Ph.D.)--Indiana University, 2019. |
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▼a This item must not be sold to any third party vendors. |
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▼a 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. |
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▼a School code: 0093. |
650 | 4 |
▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a Indiana University.
▼b Mathematics. |
773 | 0 |
▼t Dissertations Abstracts International
▼g 81-03B. |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0093 |
791 | |
▼a Ph.D. |
792 | |
▼a 2019 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493628
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
980 | |
▼a 202002
▼f 2020 |
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▼a ***1008102 |
991 | |
▼a E-BOOK |