Zobrazeno 1 - 10
of 84 263
pro vyhledávání: '"Gromov A"'
The boundary $\partial X$ of a boundary continuous Gromov hyperbolic space $X$ carries a natural Moebius structure on the boundary. For a proper, geodesically complete, boundary continuous Gromov hyperbolic space $X$, the boundary $\partial X$ equipp
Externí odkaz:
http://arxiv.org/abs/2410.18579
Autor:
Byakuno, Takuma
We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map.
Externí odkaz:
http://arxiv.org/abs/2410.18442
The Gromov Wasserstein (GW) problem, a variant of the classical optimal transport (OT) problem, has attracted growing interest in the machine learning and data science communities due to its ability to quantify similarity between measures in differen
Externí odkaz:
http://arxiv.org/abs/2410.16669
Autor:
Adams, Henry, Albornoz, Armando, Bruda, Glenn, Du, Jianda, van Rensburg, Lodewyk Jansen, Leon, Alejandro, Narayanan, Saketh, Panish, Connor, Rugenstein, Chris, Wall, Martin
The Hausdorff distance measures how far apart two sets are in a common metric space. By contrast, the Gromov-Hausdorff distance provides a notion of distance between two abstract metric spaces. How do these distances behave for quotients of spaces un
Externí odkaz:
http://arxiv.org/abs/2410.14938
Autor:
Brini, Andrea, Schuler, Yannik
We study the enumerative geometry of stable maps to Calabi-Yau 5-folds $Z$ with a group action preserving the Calabi-Yau form. In the central case $Z=X \times \mathbb{C}^2$, where $X$ is a Calabi-Yau 3-fold with a group action scaling the holomorphic
Externí odkaz:
http://arxiv.org/abs/2410.00118
A homology class $d \in H_2(X)$ of a complex flag variety $X = G/P$ is called a line degree if the moduli space $\overline{M}_{0,0}(X,d)$ of 0-pointed stable maps to $X$ of degree $d$ is also a flag variety $G/P'$. We prove a quantum equals classical
Externí odkaz:
http://arxiv.org/abs/2409.09580
Autor:
Blomme, Thomas, Carocci, Francesca
We introduce a geometric refinement of Gromov-Witten invariants for $\mathbb P^1$-bundles relative to the natural fiberwise boundary structure. We call these refined invariant correlated Gromov-Witten invariants. Furthermore we prove a refinement of
Externí odkaz:
http://arxiv.org/abs/2409.09472
The Gromov-Wasserstein (GW) distance enables comparing metric measure spaces based solely on their internal structure, making it invariant to isomorphic transformations. This property is particularly useful for comparing datasets that naturally admit
Externí odkaz:
http://arxiv.org/abs/2410.18006
It is shown that van Suijlekom's technique of imposing a set of conditions on operator system spectral triples ensures Gromov-Hausdorff convergence of sequences of sets of unital completely positive maps (equipped with the BW-topology which is metriz
Externí odkaz:
http://arxiv.org/abs/2410.15454
Autor:
Ciliberto, Ciro, Zaidenberg, Mikhail
We construct examples of nodal quartic double solids that admit uniformly rational, and so elliptic in Gromov' sense, small algebraic resolutions.
Externí odkaz:
http://arxiv.org/abs/2409.19367