Showing 2026Show all
3 papers · 1 filter
math.SG2026
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…
math.GT2026
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…
math.GT2026
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…