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pro vyhledávání: '"Fernández,Eduardo"'
We show that the fundamental group of framed circles in $S^1 \times D^3$ injects into the fundamental group of framed spheres in $S^2\times D^2$, so that the cokernel is the fundamental group of framed neat disks in $D^4$. In particular, grasper fami
Externí odkaz:
http://arxiv.org/abs/2412.07467
Autor:
Farias, Dahyana, Fernández, Eduardo
We provide a topological characterization for a family of bypasses with a fixed attaching arc to be contractible. This characterization is formulated in terms of the existence of a bypass that is disjoint from the given family away from the attaching
Externí odkaz:
http://arxiv.org/abs/2411.06467
Autor:
Blanco-Fernández, Eduardo, Gutiérrez-Álvarez, Carlos, Nasri, Nadia, Maldonado-Bascón, Saturnino, López-Sastre, Roberto J.
Dense video captioning is the task that involves the detection and description of events within video sequences. While traditional approaches focus on offline solutions where the entire video of analysis is available for the captioning model, in this
Externí odkaz:
http://arxiv.org/abs/2406.14206
This article introduces two new constructions at the higher homotopy level in the space of Legendrian embeddings in $(\mathbb{R}^3, \xi_{\operatorname{std}})$. We first introduce the parametric Legendrian satellite construction, showing that the sate
Externí odkaz:
http://arxiv.org/abs/2405.19280
Autor:
Fernández, Eduardo
We prove the existence of a subclass of overtwisted contact structures, called strongly overtwisted, on a 3-manifold that satisfy a complete h-principle without prescribing the contact structures over any subset of the 3-manifold. As a consequence, t
Externí odkaz:
http://arxiv.org/abs/2402.08204
Autor:
Fernández, Eduardo, Min, Hyunki
We determine the homotopy type of the spaces of several Legendrian knots and links with the maximal Thurston--Bennequin invariant. In particular, we give a recursive formula of the homotopy type of the space of Legendrian embeddings of sufficiently p
Externí odkaz:
http://arxiv.org/abs/2310.12385
We exhibit the first examples of exotic contactomorphisms with infinite order as elements of the contact mapping class group. These are given by certain Dehn twists on the separating sphere in a connected sum of two closed contact 3-manifolds. We det
Externí odkaz:
http://arxiv.org/abs/2211.16664