Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Yunhyung Cho"'
Autor:
Yunhyung Cho1 yunhyung@skku.edu, Yoosik Kim2 yoosik@brandeis.edu, Yong-Geun Oh3 yongoh1@postech.ac.kr
Publikováno v:
Kyoto Journal of Mathematics. 2021, Vol. 61 Issue 2, p259-304. 46p.
Autor:
Yunhyung Cho, Yoosik Kim
Publikováno v:
Transformation Groups. 25:1063-1102
In this paper, we study the Gelfand–Cetlin systems and polytopes of the co-adjoint SO(n)-orbits. We describe the face structure of Gelfand–Cetlin polytopes and iterated bundle structure of Gelfand–Cetlin fibers in terms of combinatorics on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9077240c666b2754f8a0f0f3616e8dbd
https://doi.org/10.1007/s00031-020-09566-4
https://doi.org/10.1007/s00031-020-09566-4
Publikováno v:
Communications in Contemporary Mathematics. 25
Let G be a semisimple algebraic group over [Formula: see text]. For a reduced word [Formula: see text] of the longest element in the Weyl group of G and a dominant integral weight [Formula: see text], one can construct the string polytope [Formula: s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b6ebf118365a2a349b7c6877671acdf
https://doi.org/10.1142/s0219199721501121
https://doi.org/10.1142/s0219199721501121
Publikováno v:
The Electronic Journal of Combinatorics. 29
The combinatorics of reduced words and their commutation classes plays an important role in geometric representation theory. For a semisimple complex Lie group $G$, a string polytope is a convex polytope associated with each reduced word of the longe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb31de44dd604a1b554db3b2d77ab99a
https://doi.org/10.37236/10071
https://doi.org/10.37236/10071
Autor:
Yoosik Kim, Yunhyung Cho
Publikováno v:
International Mathematics Research Notices. 2021:13892-13945
In this paper, we give a formula for the Maslov index of a gradient holomorphic disc, which is a relative version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian $S^1$-action. Using the formula, we classify all monotone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a56c2a75dcb90a06af3b28e8be7d39a
https://doi.org/10.1093/imrn/rnz227
https://doi.org/10.1093/imrn/rnz227
Publikováno v:
Kyoto Journal of Mathematics. 61
Using the bulk deformation of Floer cohomology by Schubert classes and non-Archimedean analysis of Fukaya–Oh–Ohta–Ono’s bulk-deformed potential function, we prove that every complete flag manifold Fl(n) (n≥3) with a monotone Kirillov–Kost
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33ec8c418fe56fd6e9f89c44c547b750
https://doi.org/10.1215/21562261-2021-0002
https://doi.org/10.1215/21562261-2021-0002
Publikováno v:
European Journal of Combinatorics. 67:61-77
A Gelfand-Cetlin polytope is a convex polytope obtained as an image of certain completely integrable system on a partial flag variety. In this paper, we give an equivalent description of the face structure of a GC-polytope in terms of so called the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7748197dd9258e4f598ae7dd1ba155ed
https://doi.org/10.1016/j.ejc.2017.07.005
https://doi.org/10.1016/j.ejc.2017.07.005
Autor:
Yunhyung Cho
In this paper, we complete the classification of six-dimensional closed monotone symplectic manifolds admitting semifree Hamiltonian $S^1$-actions. We also show that every such manifold is $S^1$-equivariantly symplectomorphic to some K\"{a}ahler Fano
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5180a42ef75e3aaf0b4129daeccf686e
Autor:
Yunhyung Cho
In this paper, we establish a certain inequality in terms of Betti numbers of a closed Hamiltonian $S^1$-manifold with isolated fixed points.
Comment: 4 pages, no figure
Comment: 4 pages, no figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71768ffd5fda1fdc87d2e38871e23145
Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II
Autor:
Yunhyung Cho
Publikováno v:
International Journal of Mathematics. 32:2050120
Let $(M,\omega_M)$ be a six dimensional closed monotone symplectic manifold admitting an effective semifree Hamiltonian $S^1$-action. We show that if the maximal and the minimal fixed component are both two dimensional, then $(M,\omega_M)$ is $S^1$-e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::800d6e3bb07257fd64f70cc809dab951
https://doi.org/10.1142/s0129167x20501207
https://doi.org/10.1142/s0129167x20501207