11 papers
Motion groups, Legendrian links, and non-trivial loops of embeddings
Gabriel Corrigan, Isacco Nonino
We introduce, for an embedded Legendrian link~ in a contact 3-manifold~, the group of its \emph{Legendrian motions}. Analogously with the smooth case, we prove that this…
Khovanov monodromy groups via motions
Gabriel Corrigan, Livio Ferretti, Isacco Nonino +1
For any link, we define a monodromy map from the motion group of the link to the group of automorphisms of the link's Khovanov homology. The image of this map is the \emph{unorient…
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
RealChart2Code: Advancing Chart-to-Code Generation with Real Data and Multi-Task Evaluation
Jiajun Zhang, Yuying Li, Zhixun Li +13
Vision-Language Models (VLMs) have demonstrated impressive capabilities in code generation across various domains. However, their ability to replicate complex, multi-panel visualiz…
Contact surgery distance
Marc Kegel, Isacco Nonino, Monika Yadav
In this article, we define the contact surgery distance of two contact 3-manifolds and as the minimal number of contact surgeries needed to obtain from $(…
Non-fibered strongly quasipositive links and tightness
Isacco Nonino, Miguel Orbegozo Rodriguez
It is well known that for fibered links in being strongly quasipositive and supporting a tight contact structure are equivalent notions (arXiv:math/0509499). In this…
Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds
Daniel Galvin, Isacco Nonino
We define obstructions which obstruct topological pseudo-isotopies from being isotopic to isotopies in dimension four. These match the smooth obstructions of Hatcher-Wagoner for sm…
An infinite family of hyperbolic 3-manifolds without tight projectively Anosov flows
Isacco Nonino
In this paper we find the first infinite family of hyperbolic 3-manifolds which admit tight contact structures but do not have any tight projectively Anosov flow. These manifolds a…
-space knots with positive surgeries that are not weakly symplectically fillable
Isacco Nonino
In this paper we discuss a general strategy to detect the absence of weakly symplectic fillings of -spaces. We start from a generic -space knot and consider (positive) Dehn s…
Tight contact structures on a family of hyperbolic L-spaces
Hyunki Min, Isacco Nonino
We classify tight contact structures on various surgeries on the Whitehead link, which provides the first classification result on an infinite family of hyperbolic L-spaces. We als…
Diffeotopy groups of non-compact 4-manifolds
Isacco Nonino
We provide information on diffeotopy groups of exotic smoothings of punctured 4-manifolds, extending previous results on diffeotopy groups of exotic 's. In particular…