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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.

169,181 papers · 148 categories

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6 results for “fiber-circles”

A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knotsmath.GT

The paper extends spun knot concepts to virtual 1-knots and 2-knots, proving equivalence relations and new constructions.

problem Generalizing spun knots to virtual 1-knots and 2-knots and establishing equivalence relations.

method Developed a spinning construction for virtual 1-knots and 2-knots, using fiber-circles and isotopy.

result Proved new equivalence relations and found virtual 2-knots that are

\mathcal E

-equivalent but not fiberwise equivalent.

virtual knots spun knots fiber-circles equivalence relations 2-knots

2018-08-09abs ↗pdf ↗

On fibering compact manifold over the circlemath.DG

Paper shows compact manifolds with SL(n;R) foliations are fibered over the circle.

problem Understanding foliations on compact manifolds.

method Analyzing SL(n;R) foliations on compact manifolds.

result Compact manifolds with SL(n;R) foliations are fibered over the circle.

foliations compact manifolds SL(n;R)fibered circle

2017-12-03abs ↗pdf ↗

A fibering theorem for 3-manifoldsmath.GT

Extends fibering theorems for 3-manifolds.

problem Fibering compact 3-manifolds over the circle.

method Generalizes Moon and Griffiths' theorems.

result New fibering results for 3-manifolds.

3-manifolds fibering circle compact

2021-01-04abs ↗pdf ↗

An example of a closed 5-manifold of nonpositive curvature that fibers over a circlemath.GT

A 5-manifold fibers over a circle with nonpositive curvature.

problem Finding nonpositively curved manifolds that fiber over a circle.

method Exhibited a specific 5-manifold with nonpositive curvature.

result The fiber is a 4-manifold with nonhyperbolic fundamental group.

5-manifold nonpositive curvature fiber circle fundamental group

2021-06-16abs ↗pdf ↗

A generalization of Seifert geometry based on the Siegel upper half-spacemath.GT

New geometry based on Siegel upper half-space with volume formula.

problem Developing a new 3D geometry based on Siegel upper half-space.

method Constructing a geometry fibered over Siegel upper half-space and providing a volume formula.

result Volume of Siegel-Seifert closed manifolds is the fiber circle length times base manifold's Euler characteristic.

Seifert geometry Siegel upper half-space 3D geometry volume formula Thurston geometries

2025-01-09abs ↗pdf ↗

Matsumoto dichotomy on foliated

S^1

-bundlesmath.GT

Study of Matsumoto maps on foliated bundles over hyperbolic manifolds.

problem Characterizing ergodic harmonic measures on foliated bundles.

method Analysis of actions of hyperbolic manifold groups on the circle.

result Suspension of actions with non-discrete images cannot admit Matsumoto maps of type I.

Matsumoto maps foliated bundles ergodic harmonic measures hyperbolic manifolds circle actions

2025-02-12abs ↗pdf ↗