q-Rationals, link invariants and webs
Perrine Jouteur, Hoel Queffelec
TL;DR
This paper explores the application of q-rationals in link invariants, introducing web categories that q-deform Deligne's categories to deepen understanding of their algebraic and topological properties.
Contribution
It introduces and studies web categories that serve as q-deformations of Deligne's categories, connecting q-rationals with link invariants.
Findings
Web categories provide a new framework for q-deforming Deligne's categories.
Q-rationals play a significant role in the structure of link invariants.
The approach offers potential for new invariants and algebraic insights.
Abstract
We investigate the role of q-rationals in the context of link invariants. This leads us to introduce and study web categories that q-deform Deligne's categories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory