Abstract
In the paper we explore how the Potts model in statistical mechanics is related to Khovanov homology. This exploration is made possible because the underlying combinatorics for the bracket state sum for the Jones polynomial are shared by the Potts model for planar graphs. We show that Euler characteristics of Khovanov homology figure in the computation of the Potts model at certain imaginary temperatures and that these aspects of the Potts model can be reformulated as physical quantum amplitudes via Wick rotation. The paper concludes with a new conceptually transparent quantum algorithm for the Jones polynomial and with many further questions about Khovanov homology.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
