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.

168,742 papers · 148 categories

Trend · papers per month

count % of corpus

3 results for “XC-algebras”

A refined functorial universal tangle invariantmath.GT

Refines a tangle invariant using XC-algebras.

problem Building a refined tangle invariant using XC-algebras.

method Constructing a canonical strict monoidal functor that refines the Kerler-Kauffman-Radford invariant.

result Preserves the braiding, twist, and open trace.

tangle invariant XC-algebras ribbon Hopf algebra functorial universal invariant

2025-01-29abs ↗pdf ↗

XC-tangles and universal invariantsmath.GT

Introduces XC-tangles for quantum tangle invariants.

problem Quantum invariants of tangles and virtual tangles.

method Introduces XC-tangles and their equivalence to virtual upwards tangles.

result Extension of knot isotopy invariants to XC-tangles.

XC-tangles quantum invariants tangles virtual tangles ribbon Hopf algebra

2025-11-11abs ↗pdf ↗

Knot invariants from XC-structures on the Sweedler algebra are trivialmath.GT

Knot invariants from XC-structures on Sweedler algebra are trivially determined.

problem Defining and characterizing knot invariants from XC-structures.

method Examining XC-structures on the Sweedler algebra and their relation to knot invariants.

result Knot invariants from XC-structures on Sweedler algebra are completely determined by the framing of the knot.

XC-structures Sweedler algebra knot invariants trivial determination framing

2026-01-27abs ↗pdf ↗