On-device research index

arXiv research

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.

168,695 papers · 148 categories

Trend · papers per month

count % of corpus

3 results for “graspers”

Diffeomorphisms of 4-manifolds from graspersmath.GT

The study connects specific circle embeddings to 4-manifold diffeomorphisms.

problem Understanding diffeomorphisms of 4-manifolds from specific circle embeddings.

method Using a parameterised surgery map to relate framed embeddings of S^1 to mapping class groups.

result Established connections between grasper families and known diffeomorphisms.

4-manifolds diffeomorphisms graspers surgery mapping class groups

2024-05-09abs ↗pdf ↗

Grasper families of spheres in

S^2 \times D^2

and barbell diffeomorphisms of

S^1\times S^2 \times I

math.GT

The paper shows how certain circle families in $S^1 imes D^3$ relate to sphere families in $S^2 imes D^2$ and induces nontrivial barbell diffeomorphisms.

problem Understanding the relationship between circle and sphere families in specific 3-manifolds.

method Analyzing the fundamental groups and ambient extensions of circle and sphere families.

result Induces nontrivial barbell diffeomorphisms of

S^1 imes S^2 imes I

fundamental groups sphere families circle families ambient extensions barbell diffeomorphisms

2024-12-10abs ↗pdf ↗

Knotted families from graspersmath.GT

Constructs knot-like structures in high-dimensional spaces.

problem Detecting specific knot-like structures in high-dimensional spaces.

method Uses string links constructed in a d-ball to create families of knot-like structures.

result Classes in homotopy groups of embedding spaces are detected in the Taylor tower.

knot theory embedding spaces homotopy groups Goodwillie Weiss

2023-07-26abs ↗pdf ↗