English

A closed formula for the evaluation of $\mathfrak{sl}_N$-foams

Quantum Algebra 2018-04-23 v3 Geometric Topology

Abstract

We give a purely combinatorial formula for evaluating closed decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral equivariant version of the slN\mathfrak{sl}_N link homology categorifying the slN\mathfrak{sl}_N link polynomial. We also provide connections to the equivariant cohomology rings of partial flag manifolds.

Keywords

Cite

@article{arxiv.1702.04140,
  title  = {A closed formula for the evaluation of $\mathfrak{sl}_N$-foams},
  author = {Louis-Hadrien Robert and Emmanuel Wagner},
  journal= {arXiv preprint arXiv:1702.04140},
  year   = {2018}
}

Comments

Many figures, 2 tables, Comments welcome ! Typos fixed. The computation tables were missing in v2, they are back in v3