The universal sl(2) cohomology via webs and foams

TL;DR

This paper develops a universal sl(2)-tangle cohomology theory using webs and foams, which categorifies the unnormalized Jones polynomial and depends on two parameters.

Contribution

It introduces a new categorification framework for the Jones polynomial via webs and dotted foams, extending previous approaches.

Findings

Constructed a two-parameter universal sl(2)-tangle cohomology.

Categorifies the unnormalized Jones polynomial.

Provides a new geometric approach to link invariants.

Abstract

We construct the universal sl(2)-tangle cohomology using an approach with webs and dotted foams. This theory depends on two parameters, and for the case of links it is a categorification of the unnormalized Jones polynomial of the link.