DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwak, Si-Jong | - |
dc.contributor.advisor | 곽시종 | - |
dc.contributor.author | Cho, Hyun-Woong | - |
dc.contributor.author | 조현웅 | - |
dc.date.accessioned | 2017-03-29T02:46:06Z | - |
dc.date.available | 2017-03-29T02:46:06Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=648183&flag=dissertation | en_US |
dc.identifier.uri | http://hdl.handle.net/10203/222189 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수리과학과, 2016.2 ,[iii, 33 p. :] | - |
dc.description.abstract | The Buchstaber invariant $s(K)$ is defined to be the maximum integer for which there is a subtorus of dimension $s(K)$ acting freely on the moment-angle complex associated with a finite simplicial complex $K$. Analogously, its real version $s_{\mathbb{R}}(K)$ can also be defined by using the real moment-angle complex instead of the moment-angle complex. The importance of these invariants comes from the fact that $s(K)$ and $s_{\mathbb{R}}(K)$ distinguish two simplicial complexes and are the source of nontrivial and interesting combinatorial tasks. The ultimate goal of this paper is to compute the real Buchstaber invariants of skeleta $K=\Delta_{m-p-1}^{m-1}$ of the simplex $\Delta^{m-1}$ by making a formula. In fact, it can be solved by integer linear programming. We also give a counterexample to the conjecture which is proposed in \cite{FM} and we provide an adjusted formula which can be thought of as a preperiodicity of some numbers related to the real Buchstaber invariants. | - |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Buchstaber invariant | - |
dc.subject | simplicial complex | - |
dc.subject | linear programming | - |
dc.subject | toric topology | - |
dc.subject | optimal solution | - |
dc.subject | 북스타버 불변량 | - |
dc.subject | 단체의 복합체 | - |
dc.subject | 선형계획법 | - |
dc.subject | 토릭위상 | - |
dc.subject | 최적해 | - |
dc.title | Periodicity and the values of the buchstaber invariants | - |
dc.title.alternative | 실 북스타버 불변량과 주기성에 관한 연구 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 325007 | - |
dc.description.department | 한국과학기술원 :수리과학과, | - |
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