DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Suh, Dong-Youp | - |
dc.contributor.advisor | 서동엽 | - |
dc.contributor.author | Hwang, Taek-Gyu | - |
dc.contributor.author | 황택규 | - |
dc.date.accessioned | 2015-04-23T07:54:29Z | - |
dc.date.available | 2015-04-23T07:54:29Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=565562&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/197740 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수리과학과, 2013.8, [ iv, 35 p. ] | - |
dc.description.abstract | We present two results on symplectic manifolds with a Hamiltonian circle action. The first one is on the computation of the Gromov width. Let $(M, \omega)$ be a closed monotone symplectic manifold. Suppose there is a semifree Hamiltonian circle action on $(M, \omega)$ with isolated maximum. We prove that the Gromov width of $(M, \omega)$ is given by the difference of the maximum and the second maximum critical values of the moment map. The second one is on the fixed point set of the action. Consider a 6-dimensional closed symplectic manifold with a semifree Hamiltonian circle action. If all fixed components are 2-dimensional, then the number of fixed surfaces of positive genus is 0, 1, 3, or 4. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | symplectic manifold | - |
dc.subject | 사이델 표현 | - |
dc.subject | 그로모프-위튼 불변량 | - |
dc.subject | 그로모프 너비 | - |
dc.subject | 해밀토니안 원 작용 | - |
dc.subject | 심플렉틱 다양체 | - |
dc.subject | Hamiltonian circle action | - |
dc.subject | Gromov width | - |
dc.subject | Gromov-Witten invariant | - |
dc.subject | Seidel representation | - |
dc.title | A study on Hamiltonian circle actions | - |
dc.title.alternative | 해밀토니안 원 작용에 대한 연구 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 565562/325007 | - |
dc.description.department | 한국과학기술원 : 수리과학과, | - |
dc.identifier.uid | 020057669 | - |
dc.contributor.localauthor | Suh, Dong-Youp | - |
dc.contributor.localauthor | 서동엽 | - |
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