A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
In this article we give necessary and sufficient conditions for two triples of integers to be realized as the Thurston-Bennequin number and the rotation number of a Legendrian theta-graph with all cycles unknotted. We show that these invariants are not enough to determine the Legendrian class of a topologically planar …
Introduces nested open books for manifold decomposition.
For any knot T transverse to a given contact structure on a 3-manifold, we exhibit a Legendrian two-component link such that T equals the transverse push-off of one of the link components and contact (+1)-surgery on the link has the same effect as a Lutz twist along T.
Mathematical study connects curve counting to quantum topology.
A new inequality linking submanifold's topology to its Reeb chords count.
The paper proves compactness for holomorphic curves with boundary on nearby Lagrangians.
The paper proves inequalities for links in tight contact 3-manifolds.