Results 31 to 40 of about 117,014 (152)
Prequantization of the Moduli Space of Flat ${\rm PU}(p)$-Bundles with Prescribed Boundary Holonomies [PDF]
, 2014 Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantization for the moduli space of flat ${\rm PU}(p)$-bundles over a compact orientable surface with prescribed holonomies around boundary components, where $p>2$ is ...
Krepski, Derek
core +4 more sources
The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
core +3 more sources
On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems [PDF]
, 2015 Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems.
Santoprete, Manuele
core +4 more sources
The Symplectic Geometry of Polygons in the 3-Sphere [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2000 We study the symplectic geometry of the moduli spaces ${{M}_{r}}={{M}_{r}}\left( {{\mathbb{S}}^{3}} \right)$ of closed $n$ -gons with fixed side-lengths in the 3-sphere.
T. Treloar
semanticscholar +1 more source
The Two-fold Role of Observables in Classical and Quantum Kinematics [PDF]
, 2017 Observables have a dual nature in both classical and quantum kinematics: they are at the same time \emph{quantities}, allowing to separate states by means of their numerical values, and \emph{generators of transformations}, establishing relations between
Zalamea, Federico
core +2 more sources
Non-commutative Symplectic Geometry, Quiver varieties,$\,$ and$\,$ Operads [PDF]
, 2000 Quiver varieties have recently appeared in various different areas of Mathematics such as representation theory of Kac-Moody algebras and quantum groups, instantons on 4-manifolds, and resolutions Kleinian singularities.
V. Ginzburg
semanticscholar +1 more source
Compactness results in Symplectic Field Theory
, 2003 This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in [Y Eliashberg, A Givental and H Hofer, Introduction to Symplectic Field Theory, Geom. Funct. Anal. Special Volume, Part II (2000) 560--673].
Bourgeois, F +4 more
core +5 more sources
Locally conformal symplectic nilmanifolds with no locally conformal K\"ahler metrics [PDF]
, 2014 We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K\"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.Comment: 7 pages, no figures.
Carlos Marrero, Giovanni Bazzoni, Juan
core +1 more source
Moduli spaces of toric manifolds [PDF]
, 2013 We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance
A. R. Pires +26 more
core +2 more sources
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source