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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.

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2 results for “K1-group”

Twisted Alexander invariants of knot group representationsmath.GT

New Alexander invariants for knot groups computed using $K_1$ -groups.

problem Computing Alexander invariants for knot groups.

method Introducing

K_1

-classes and comparing them with other Alexander polynomials.

result Non-triviality of computed

K_1

-classes for some knots.

Alexander invariants knot groups K1-groups semi-local rings

2020-02-24abs ↗pdf ↗

A non-commutative Reidemeister-Turaev torsion of homology cylindersmath.GT

Researchers compute torsion for homology cylinders, proving it a finite-type invariant.

problem Computing finite-type invariants for homology cylinders.

method Non-commutative Reidemeister-Turaev torsion, using

K_1

-group and group ring.

result The torsion's reduction is a finite-type invariant of degree

d

Reidemeister-Turaev torsion homology cylinders finite-type invariant degree d K1-group

2022-06-27abs ↗pdf ↗