DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Choi, Suhyoung | - |
dc.contributor.advisor | 최서영 | - |
dc.contributor.author | Jung, Hongtaek | - |
dc.date.accessioned | 2021-05-11T19:37:39Z | - |
dc.date.available | 2021-05-11T19:37:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=871407&flag=dissertation | en_US |
dc.identifier.uri | http://hdl.handle.net/10203/283240 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수리과학과, 2019.8,[iii, 48 p. :] | - |
dc.description.abstract | Goldman parametrizes the $\operatorname{PSL}_3 (\mathbb{R})$-Hitchin component of a closed oriented hyperbolic surface of genus $g$ by $16g-16$ parameters. Among them, $10g-10$ coordinates are canonical. We prove that the $\operatorname{PSL}_3 (\mathbb{R})$-Hitchin component equipped with the Atiyah-Bott-Goldman symplectic form admits a global Darboux coordinate system such that the half of its coordinates are canonical Goldman coordinates. To this end, we show a version of the action-angle principle and the Zocca-type decomposition formula for the symplectic form of H. Kim and Guruprasad-Huebschmann-Jeffrey-Weinstein given to symplectic leaves of the Hitchin component. | - |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Global darboux coordinates▼ahitchin component▼agoldman coordinates▼agoldman symplectic form | - |
dc.subject | 글로벌 Darboux 좌표계▼aHitchin 컴포넌트▼aGoldman 좌표계▼aGoldman 사교형식 | - |
dc.title | Symplectic coordinates on $\operatorname{PSL}_3 (\mathbb{R}$)-Hitchin components | - |
dc.title.alternative | $\operatorname{PSL}_3 (\mathbb{R}$)-Hitchin 컴포넌트 위의 사교좌표계 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 325007 | - |
dc.description.department | 한국과학기술원 :수리과학과, | - |
dc.contributor.alternativeauthor | 정홍택 | - |
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