English

On The Augmentation Categories of Positive Braid Closures

Symplectic Geometry 2015-10-01 v1

Abstract

In this paper we show that 0-resolution of a crossing in the Legendrian closure of a positive braid induces a cohomologically faithful AA_\infty functor on augmentation categories. In particular, we compute the bilinearized Legendrian contact cohomology of these knots for augmentations induced by 0-resolution.

Cite

@article{arxiv.1509.09301,
  title  = {On The Augmentation Categories of Positive Braid Closures},
  author = {Michael Menke},
  journal= {arXiv preprint arXiv:1509.09301},
  year   = {2015}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-22T11:09:32.842Z