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.
Proves finiteness and holonomicity of skein modules for 3-manifolds.
The tetrahedral index connects to a q-Bessel function, revealing new mathematical techniques.
Projection maps which appear in the theory of buildings and oriented matroids are closely related to the notion of shellability. This was first observed by Bj{ö}rner. In this paper, we give an axiomatic treatment of either concept and show their equivalence. We also axiomatize duality in this setting. As applications o…
Develops quantum character theory for complex reductive groups.
The colored HOMLFY polynomial is an important knot invariant depending on two variables and . We give bounds on the degree in both and generalizing Morton's bounds \cite{Mo86} for the ordinary HOMFLY polynomial. Our bounds suggest that the degree detects certain incompressible surfaces in the knot comple…
The paper discusses -deformations of the Aomoto complex.
Extends Kauffman's formula to 3-manifolds with markings.