Results 51 to 60 of about 48,683 (227)

Quasi-states, quasi-morphisms, and the moment map

, 2012
We prove that symplectic quasi-states and quasi-morphisms on a symplectic manifold descend under symplectic reduction on a superheavy level set of a Hamiltonian torus action. Using a construction due to Abreu and Macarini, in each dimension at least four
Abreu, Abreu, Banyaga, Batyrev, Biran, Borman, Buhovsky, Calegari, Cardin, Cho, Delzant, Eliashberg, Entov, Entov, Entov, Entov, Entov, Entov, Fukaya, Fukaya, Fukaya, Fukaya, Ginzburg, Givental, Kotschick, Le Roux, Matthew Strom Borman, Maydanskiy, McDuff, McDuff, McDuff, McDuff, Monzner, Oh, Ostrover, Ostrover, Polterovich, Schwarz, Seidel, Shelukhin, Usher, Walker, Wilson, Woodward   +43 more
core   +1 more source

The Necessary Uniformity of Physical Probability

Philosophy and Phenomenological Research, Volume 112, Issue 1, Page 290-306, January 2026.
ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
wiley   +1 more source

Elliptic GW invariants of blowups along curves and surfaces

International Journal of Mathematics and Mathematical Sciences, 2005
We established a relation between elliptic Gromov-Witten invariants of a symplectic manifold M and its blowups along smooth curves and surfaces.
Jianxun Hu, Hou-Yang Zhang
doaj   +1 more source

A splitting result for compact symplectic manifolds

, 2004
We consider compact symplectic manifolds acted on effectively by a compact connected Lie group $K$ in a Hamiltonian fashion. We prove that the squared moment map $||\mu||^2$ is constant if and only if $K$ is semisimple and the manifold is $K ...
Bedulli, Lucio, Gori, Anna
core   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

Symplectic cutting of Kähler manifolds [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 1999
Abstract We obtain estimates on the character of the cohomology of an S1-equivariant holomorphic vector bundle over a Kähler manifold M in terms of the cohomology of the Lerman symplectic cuts and the symplectic reduction of M. In particular, we prove and extend inequalities conjectured by Wu and Zhang.
openaire   +2 more sources

Geometric Structures on Spaces of Weighted Submanifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces.
Brian Lee
doaj   +1 more source

Geodesic motion on the symplectic leaf of $$SO(3)$$ S O ( 3 ) with distorted e(3) algebra and Liouville integrability of a free rigid body

European Physical Journal C: Particles and Fields, 2023
The solutions to the Euler–Poisson equations are geodesic lines of SO(3) manifold with the metric determined by inertia tensor. However, the Poisson structure on the corresponding symplectic leaf does not depend on the inertia tensor.
Alexei A. Deriglazov
doaj   +1 more source

Birational cobordism invariance of uniruled symplectic manifolds

, 2006
A symplectic manifold $(M,\omega)$ is called {\em (symplectically) uniruled} if there is a nonzero genus zero GW invariant involving a point constraint. We prove that symplectic uniruledness is invariant under symplectic blow-up and blow-down.
A. Gathmann, A. Li, A. Okounkov, B. Siebert, D. Maulik, D. McDuff, D. McDuff, D. McDuff, E. Getzler, E. Ionel, E. Lerman, F. Lalonde, G. Lu, G. Lu, G. Lu, H. Ohta, J. Etnyre, J. Hu, J. Hu, J. Hu, J. Hu, J. Kollár, J. Li, J. Li, J. Li, J. McCarthy, Jianxun Hu, K. Fukaya, R. Gompf, T. Graber, T. Graber, T.-J. Li, T.-J. Li, T.-J. Li, Tian-Jun Li, V. Ginzburg, V. Guillemin, W. Fulton, Y. Kawamata, Y. Ruan, Y. Ruan, Yongbin Ruan   +41 more
core   +3 more sources

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source