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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.

168,657 papers · 148 categories

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4 results for “R-links”

Some experimental results on stable equivalence of GST Links for the Generalized Property R Conjecturemath.GT

The paper verifies stable handleslide triviality of some R-links and shows many are stably equivalent.

problem Stable handleslide triviality of R-links as potential counterexamples to the generalized property R conjecture.

method Implemented an algorithm to construct all R-links explicitly and verified their stable handleslide triviality.

result Many R-links are stably handleslide equivalent.

R-links generalized property R conjecture stable handleslide triviality algorithm construction

2026-04-20abs ↗pdf ↗

A family of Andrews-Curtis trivializations via 4-manifold trisectionsmath.GT

New method shows certain group presentations are trivial.

problem Proving certain group presentations are trivial.

method 4-manifold trisections

result Certain group presentations are Andrews-Curtis trivial.

Andrews-Curtis conjecture 4-manifold trisections group presentations trivial group

2023-04-06abs ↗pdf ↗

Generalized square knots and homotopy 4-spheresmath.GT

The purpose of this paper is to study geometrically simply-connected homotopy 4-spheres by analyzing $n$ -component links with a Dehn surgery realizing $\#^n(S^1\times S^2)$ . We call such links $n$ R-links. Our main result is that a homotopy 4-sphere that can be built without 1-handles and with only two 2-handles is diff…

2019-04-17abs ↗pdf ↗

Equivalent characterizations of handle-ribbon knotsmath.GT

New theorem connects handle-ribbon knots to slice derivatives.

problem Characterizing knots that bound handle-ribbon disks.

method Proves equivalence between handle-ribbon and slice derivatives.

result Handle-ribbon knots are equivalent to slice derivatives.

handle-ribbon knots slice derivatives slice knots 4-ball singular fibrations

2020-05-22abs ↗pdf ↗