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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.

168,742 papers · 148 categories

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0111 · Sep 202219922001200920172026
2 results for “rank-expanding”
Rank-expanding satellite operators on the topological knot concordance groupmath.GT

New examples show satellite operations can expand the concordance group in topological knot theory.

problem Understanding how satellite operations affect the concordance group in topological knot theory.
method Forming satellites of knots with a fixed pattern and analyzing the induced map on the concordance group.
result Similar examples of rank-expanding satellite operations exist in the topological locally flat concordance group.
satellite operationstopological knot concordancerank-expandingconcordance groupsolid torus
2022-11-08abs ↗pdf ↗
Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homologymath.GT

Study satellite operators expanding concordance groups and their applications.

problem Understanding satellite operators and their impact on concordance groups.
method Floer-theoretic methods to analyze satellite operators and their effects on concordance groups.
result Established a Floer-theoretic condition for infinite-rank images of companion knots under satellite operators.
satellite operatorsconcordance groupsFloer homologyWhitehead doublesHeegaard Floer homology
2022-09-15abs ↗pdf ↗