Do link polynomials detect causality in globally hyperbolic spacetimes?

DOI10.1063/5.0040956zbMath1462.57016arXiv2011.09415OpenAlexW3106350218WikidataQ115553597 ScholiaQ115553597MaRDI QIDQ5859131

Samantha Allen, Jacob H. Swenberg

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09415

zbMATH Keywords

Jones polynomialConway polynomialhyperbolic spacetime

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Equations of motion in general relativity and gravitational theory (83C10) Knot polynomials (57K14)

Cites Work

• State models and the Jones polynomial
• The Conway polynomial
• On Khovanov's categorification of the Jones polynomial
• Infinite families of links with trivial Jones polynomial
• Legendrian links, causality, and the low conjecture
• Alexander–Conway polynomial state model and link homology
• Does the Jones Polynomial Detect Unknottedness?
• Linking, Legendrian linking and causality
• Khovanov homology and causality in spacetimes
• Categorified invariants and the braid group