Results 41 to 50 of about 110,516 (135)
Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
wiley +1 more source
Geometry of discrete-time spin systems
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
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Quantization of Contact Manifolds and Thermodynamics
The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number.
Arnold +14 more
core +2 more sources
C.T.C. Wall's 1964 articles on 4‐manifolds
Abstract I survey C. T. C. Wall's influential papers, ‘Diffeomorphisms of 4‐manifolds’ and ‘On simply‐connected 4‐manifolds’, published in 1964 on pp. 131–149 of volume 39 of the Journal of the London Mathematical Society.
Mark Powell
wiley +1 more source
Poisson brackets, quasi-states and symplectic integrators [PDF]
This paper is a fusion of a survey and a research article. We focus on certain rigidity phenomena in function spaces associated to a symplectic manifold.
Entov, Michael +2 more
core
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Integration of Exact Courant Algebroids
In this paper, we describe an integration of exact Courant algebroids to symplectic 2-groupoids, and we show that the differentiation procedure from [26] inverts our integration.Comment: 21 pages, 2 ...
Li-Bland, David, Severa, Pavol
core +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Geometric structures on the tangent bundle of the Einstein spacetime [PDF]
We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein ...
Janyška, Josef
core +2 more sources

