Results 51 to 60 of about 393,149 (150)
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source
Solving the quartic with a pencil
, 2007 This expository paper presents the general solution of a quartic equation as a jump off point to introduce Lefschetz fibrations.
Auckly, Dave
core +1 more source
Lagrangian approximation of totally real concordances
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley +1 more source
Geometry of discrete-time spin systems
, 2015 Classical Hamiltonian spin systems are continuous dynamical systems on the symplectic phase space $(S^2)^n$. In this paper we investigate the underlying geometry of a time discretization scheme for classical Hamiltonian spin systems called the spherical ...
McLachlan, Robert I. +2 more
core +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 6, 30 March 2025.ABSTRACT This paper deals with the optimal control of constrained mechanical systems, with potential additional kinematic constraints at the final time. Correspondingly, the equations of motion of the underlying mechanical system assume the form of differential‐algebraic equations with end constraints.
Ashutosh Bijalwan +3 more
wiley +1 more source
Branched holomorphic Cartan geometry on Sasakian manifolds [PDF]
arXiv, 2018 We extend the notion of (branched) holomorphic Cartan geometry on a complex manifold to the context of Sasakian manifolds. Branched holomorphic Cartan geometries on Sasakian Calabi-Yau manifolds are investigated.
arxiv
General Geometry and Geometry of Electromagnetism [PDF]
arXiv, 2002 It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is geometry underlying Electromagnetism.
arxiv
Abel Prize 2009 as a necessitation to discussion on geometry, or physicist versus geometers [PDF]
arXiv, 2009 Contemporary geometers do not acknowledge nonaxomatizable geometries. This fact means that our knowledge of geometry is poor. A perfect knowledge of geometry is important for "consumers of geometry" (physicists dealing with geometry of microcosm), because poor knowledge of geometry forces physicists to refuse from the orthodox geometrical paradigm and ...
arxiv
Relations Among Universal Equations For Gromov-Witten Invariants [PDF]
arXiv, 2003 In this paper, we study relations among known universal equations for Gromov-Witten invariants at genus 1 and 2.
arxiv
A (2+1)-dimensional integrable spin model(the M-XXII equation) and Differential geometry of curves/surfaces [PDF]
arXiv, 1998 Using the differential geometry of curves and surfaces the Lakshmanan equivalent counterpart of the M-XXII equation is found ... .
arxiv