# Self-Linking for Legendrian Knots

### APA

Beasley, C. (2017). Self-Linking for Legendrian Knots. Perimeter Institute. https://pirsa.org/17020093

### MLA

Beasley, Chris. Self-Linking for Legendrian Knots. Perimeter Institute, Feb. 24, 2017, https://pirsa.org/17020093

### BibTex

@misc{ pirsa_PIRSA:17020093, doi = {10.48660/17020093}, url = {https://pirsa.org/17020093}, author = {Beasley, Chris}, keywords = {Mathematical physics}, language = {en}, title = {Self-Linking for Legendrian Knots}, publisher = {Perimeter Institute}, year = {2017}, month = {feb}, note = {PIRSA:17020093 see, \url{https://pirsa.org}} }

Chris Beasley Northeastern University

## Abstract

The Feynman diagram expansion for a Wilson loop observable in Chern-Simons gauge theory generates an infinite series of topological invariants for framed knots. In this talk, I will describe a new perturbative formalism which conjecturally generates the same invariants for Legendrian knots in the standard contact R^3. The formalism includes a `perturbative' localization principle which drastically simplifies the structure of calculations. As time permits, I will provide some examples and applications. This talk is based upon joint work with Brendan McLellan and Ruoran Zhang.