English

Augmentations and link group representations

Geometric Topology 2022-08-16 v2 Symplectic Geometry

Abstract

We construct the augmentation representation. It is a representation of the fundamental group of the link complement associated to an augmentation of the framed cord algebra. This construction connects representations of two link invariants of different types. We also study properties of the augmentation representation.

Keywords

Cite

@article{arxiv.1903.01012,
  title  = {Augmentations and link group representations},
  author = {Honghao Gao},
  journal= {arXiv preprint arXiv:1903.01012},
  year   = {2022}
}

Comments

31 pages, 14 figures. Published version without journal formatting