Periodicity and the values of the buchstaber invariants실 북스타버 불변량과 주기성에 관한 연구

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dc.contributor.advisorKwak, Si-Jong-
dc.contributor.advisor곽시종-
dc.contributor.authorCho, Hyun-Woong-
dc.contributor.author조현웅-
dc.date.accessioned2017-03-29T02:46:06Z-
dc.date.available2017-03-29T02:46:06Z-
dc.date.issued2016-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=648183&flag=dissertationen_US
dc.identifier.urihttp://hdl.handle.net/10203/222189-
dc.description학위논문(박사) - 한국과학기술원 : 수리과학과, 2016.2 ,[iii, 33 p. :]-
dc.description.abstractThe 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.languageeng-
dc.publisher한국과학기술원-
dc.subjectBuchstaber invariant-
dc.subjectsimplicial complex-
dc.subjectlinear programming-
dc.subjecttoric topology-
dc.subjectoptimal solution-
dc.subject북스타버 불변량-
dc.subject단체의 복합체-
dc.subject선형계획법-
dc.subject토릭위상-
dc.subject최적해-
dc.titlePeriodicity and the values of the buchstaber invariants-
dc.title.alternative실 북스타버 불변량과 주기성에 관한 연구-
dc.typeThesis(Ph.D)-
dc.identifier.CNRN325007-
dc.description.department한국과학기술원 :수리과학과,-
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