https://e-sygoing.link Latest links in the Mathematical Physics category en-us Sun, 24 May 2026 23:36:47 -0400 https://e-sygoing.link/link/5276570-holomorphic-methods-in-mathematical-physics This set of lecture notes by Brian C. Hall gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Mon, 04 May 2026 04:09:39 -0400 https://e-sygoing.link/go/5276570 https://e-sygoing.link/link/5276573-recent-developments-in-skyrme-models An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists. Tue, 21 Apr 2026 12:40:33 -0400 https://e-sygoing.link/go/5276573 https://e-sygoing.link/link/5276589-doing-physics-with-quaternions A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra. Wed, 21 Jan 2026 06:35:06 -0500 https://e-sygoing.link/go/5276589 https://e-sygoing.link/link/5276571-lectures-on-orientifolds-and-duality Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. Tue, 06 Jan 2026 09:35:07 -0500 https://e-sygoing.link/go/5276571 https://e-sygoing.link/link/5276582-five-lectures-on-soliton-equations A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type. Sat, 20 Dec 2025 21:50:25 -0500 https://e-sygoing.link/go/5276582 https://e-sygoing.link/link/5276574-an-introduction-to-noncommutative-geometry A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. Fri, 19 Dec 2025 14:43:26 -0500 https://e-sygoing.link/go/5276574 https://e-sygoing.link/link/5276579-topology-and-physics An essay by C. Nash on the historical connection between topology and physics. Fri, 28 Nov 2025 06:54:48 -0500 https://e-sygoing.link/go/5276579 https://e-sygoing.link/link/5276569-this-weeks-finds-in-mathematical-physics This is a column written about modern topics in mathematical physics. Mon, 27 Oct 2025 10:29:52 -0400 https://e-sygoing.link/go/5276569 https://e-sygoing.link/link/5276583-complex-geometry-of-nature-and-general-relativity A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. Fri, 22 Aug 2025 01:09:36 -0400 https://e-sygoing.link/go/5276583 https://e-sygoing.link/link/5276565-dimensional-analysis A simple review of the powerful technique of dimensional analysis. Sun, 17 Aug 2025 14:19:52 -0400 https://e-sygoing.link/go/5276565