Research
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.

168,657 papers · 148 categories

Trend · papers per month

count% of corpus
0111 · Oct 202319922001200920172026
4 results for “PI-degree”
Sliced skein algebras and geometric Kauffman bracketmath.GT

Sliced skein algebras and geometric Kauffman bracket study algebraic structures and their properties.

problem Study sliced skein algebras and their properties.
method Quotient of Kauffman bracket skein algebra, center calculation, PI-degree calculation, fully Azumaya point analysis.
result Center and PI-degree calculations for sliced skein algebras, fully Azumaya points, and simple modules.
sliced skein algebrasKauffman bracketfinite type surfacesdomaincenter
2023-10-09abs ↗pdf ↗
Explicit representations and Azumaya loci of skein algebras of small surfacesmath.QA

Researchers create explicit representations for skein algebras of small surfaces, revealing their Azumaya loci.

problem Understanding the structure and properties of skein algebras of small surfaces.
method Constructed finite-dimensional representations at all roots of unity, using explicit formulas and analyzing reducibility.
result Azumaya loci of the surfaces contain the smooth loci of classical shadow varieties, with equality for the one-punctured torus and proper containment for the four-punctured sphere.
skein algebrasAzumaya locifinite-dimensional representationsone-punctured torusfour-punctured sphere
2023-12-01abs ↗pdf ↗