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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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3 results for “y-ification”

y

-ification of Khovanov homologymath.GT

Constructs $y$ -ifications of Khovanov homology and proves compatibility with HOMFLY--PT.

problem Distinguishing knots with identical Khovanov and HOMFLY--PT homologies.

method Elementary construction within Bar-Natan's framework for tangles, defining

e

-action on

y

-ifications.

result New structures distinguish knots with identical homologies, e.g., Conway and Kinoshita-Terasaka knots.

Khovanov homology HOMFLY--PT homology y-ification tangles spectral sequence

2026-02-19abs ↗pdf ↗

Stable deformed

\mathfrak{gl}_N

homology of torus knotsmath.GT

Authors compute stable homology of torus knots using a new deformation technique.

problem Computing stable homology of torus knots.

method Link-splitting deformation (y-ification) of link homology.

result Explicit computation of

y

-ified

\mathfrak{gl}_N

stable Khovanov--Rozansky homology of torus knots.

Khovanov-Rozansky homology torus knots stable homology spectral sequence link homology

2025-06-30abs ↗pdf ↗

Hilbert schemes and

y

-ification of Khovanov-Rozansky homologymath.GT

We define a deformation of the triply graded Khovanov-Rozansky homology of a link $L$ depending on a choice of parameters $y_c$ for each component of $L$ , which satisfies link-splitting properties similar to the Batson-Seed invariant. Keeping the $y_c$ as formal variables yields a link homology valued in triply graded …

2017-12-11abs ↗pdf ↗