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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.

168,738 papers · 148 categories

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3 results for “Zh-construction”

Characterization and Further Applications of the Bar-Natan Zh-Constructionmath.GT

Zh-construction links virtual links to classical ones, simplifying knot invariants.

problem Linking virtual and classical knot invariants.

method Zh-construction maps virtual link diagrams to classical ones.

result Zh-construction unifies and characterizes knot invariants.

Zh-construction virtual links knot invariants Alexander polynomial slice obstructions

2023-07-18abs ↗pdf ↗

U_q(\mathfrak{gl}(m|n))

bounds on the minimal genus of virtual linksmath.GT

New bounds on virtual link genus using quantum supergroups.

problem Finding strong lower bounds on the minimal genus of virtual links.

method Defined a

U_q(\mathfrak{gl}(m|n))

invariant equivalent to the CSW polynomial, generalized to all

U_q(\mathfrak{gl}(m|n))

result Generalized CSW lower bounds to all quantum supergroups

U_q(\mathfrak{gl}(m|n))

with

m,n>0

virtual links quantum supergroups invariants genus bounds CSW polynomial

2025-12-26abs ↗pdf ↗

Lie superalgebra invariants and almost classical knotsmath.GT

New quantum models unify Alexander and generalized Alexander polynomials for AC links.

problem Defining and distinguishing AC links and virtual knots.

method Generalizing AC links to virtual tangles and using quantum supergroups.

result Generalized Alexander polynomials are distinct from Alexander polynomials for AC links.

Lie superalgebra quantum topology virtual knots Alexander polynomial generalized Alexander polynomial

2024-05-12abs ↗pdf ↗