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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.

169,051 papers · 148 categories

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3 results for “supercategory”

Not even Khovanov homologymath.QA

New link homology theory supercategorifies Jones polynomial.

problem Constructing link homology theories.

method Skew version of KLR algebras for type A quiver, cyclotomic quotients of supercategory.

result Invariant is distinct from Khovanov homology and conjectured to be isomorphic to odd Khovanov homology.

link homology Jones polynomial Khovanov homology categorification supercategory

2019-09-09abs ↗pdf ↗

Equivariant cohomology and tensor categoriesmath.QA

We propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermathematics. We also prove generalizations of a number of results in equivariant cohomology, including the Chern-Weil theorem for an arbitrary r…

2008-02-07abs ↗pdf ↗

Odd annular Bar-Natan category and gl(1|1)math.GT

New categories help understand knot algebra.

problem Understanding the action of

\mathfrak{gl}(1|1)

on knot homology.

method Introducing and equating two new supercategories.

result Equivalence of categories for

δ=0

Knot homology Lie superalgebra Category theory Thickened annulus

2022-06-04abs ↗pdf ↗