e-sygoing.link — Research Oriented https://e-sygoing.link Latest links in the Research Oriented category en-us Wed, 10 Jun 2026 09:45:44 -0400 A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links https://e-sygoing.link/link/5290038-a-dynamic-approach-to-calculating-the-homfly-polynomial-for- A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore duplicates. Source code is on the site. Mon, 10 Nov 2025 13:20:08 -0500 https://e-sygoing.link/go/5290038 Liverpool University Knot Theory Group https://e-sygoing.link/link/5290039-liverpool-university-knot-theory-group Articles and preprints from 1987 onward. Some are available for download in postscript format. Sun, 23 Jun 2024 16:03:24 -0400 https://e-sygoing.link/go/5290039 Knot Theory and Quantum Gravity https://e-sygoing.link/link/5290040-knot-theory-and-quantum-gravity Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author. Tue, 17 Jan 2023 22:00:11 -0500 https://e-sygoing.link/go/5290040