Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Jung, Hongtaek"'
Autor:
Jung, Hongtaek
Let $G$ be a split real form of a complex simple adjoint group and let $S$ be a closed orientable surface of genus at least 2. We show that for generic $\operatorname{PSL}_{2k-1}(\mathbb{R})$-Hitchin representations $\rho$, the middle eigenvalue of $
Externí odkaz:
http://arxiv.org/abs/2407.08487
Autor:
Choi, Suhyoung, Jung, Hongtaek
We show that the mapping class group actions on many higher Teichm\"uller spaces of rank at least two have infinite Atiyah-Bott-Goldman covolume. Our result covers $\mathsf{G}$-Hitchin components for $\mathsf{G}=\mathsf{PSL}_{n+1}(\mathbb{R})$, $\mat
Externí odkaz:
http://arxiv.org/abs/2305.10093
We show that some laminar group which has an invariant veering pair of laminations is a hyperbolic 3-orbifold group. On the way, we show that from a veering pair of laminations, one can construct a loom space (in the sense of Schleimer-Segerman) as a
Externí odkaz:
http://arxiv.org/abs/2206.10874
A 2-component oriented link in $S^3$ is called weakly doubly slice if it is a cross-section of an unknotted sphere in $S^4$, and strongly doubly slice if it is a cross-section of a 2-component trivial spherical link in $S^4$. We give the first exampl
Externí odkaz:
http://arxiv.org/abs/2110.13634
We show that the differences between various concordance invariants of knots, including Rasmussen's $s$-invariant and its generalizations $s_n$-invariants, give lower bounds to the Turaev genus of knots. Using the fact that our bounds are nontrivial
Externí odkaz:
http://arxiv.org/abs/2010.00031
Autor:
Choi, Suhyoung, Jung, Hongtaek
Let $\mathcal{O}$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form $\omega$ on the deformation space $\mathcal{C}(\mathcal{O})$ of convex projective structures on
Externí odkaz:
http://arxiv.org/abs/2007.13285
Goldman parametrizes the $\mathrm{PSL}_3(\mathbb{R})$-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 $\mathrm{PSL}_3(\mathbb{R})$-Hitchi
Externí odkaz:
http://arxiv.org/abs/1901.04651
Autor:
Choi, Suhyoung, Jung, Hongtaek
Publikováno v:
Transformation Groups. 28:639-693
Let $\mathcal{O}$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form $\omega$ on the deformation space $\mathcal{C}(\mathcal{O})$ of convex projective structures on
Autor:
Choi, Suhyoung, Jung, Hongtaek
We will show that the Atiyah-Bott-Goldman volumes of the quotient spaces of the $\mathsf{PSL}(n,\mathbb{R})$-Hitchin components by the mapping class group are infinite if $n>2$. We use the bulge deformation of the Hitchin representations and show tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf97d7ebfc3ae628916cc9e3d2730d4d
Autor:
CHOI, SUHYOUNG, JUNG, HONGTAEK
Publikováno v:
Transformation Groups; Jun2023, Vol. 28 Issue 2, p639-693, 55p