Hasil untuk "math.SG"

Nafeesa Khatoon, Sartaj Ali, Azhar Hussain et al.

Takumi Arai

Guillermou-Kashiwara-Schapira proved that there exists a unique sheaf quantization of any homogeneous Hamiltonian isotopy on a cotangent bundle. In this paper, we explicitly construct a sheaf quantization of geodesic flows on spheres and complex projective spaces.

Wolfgang Schmaltz

Given a semipositive symplectic manifold, we prove that the pseudocycle genus-zero Gromov-Witten invariants are equal to the polyfold genus-zero Gromov-Witten invariants.

Ruvan de Graaf, Yannick De Decker, Victor Sojo et al.

Yuguang Zhang

This short paper shows a topological obstruction of the existence of certain Lagrangian submanifolds in symplectic $4m$-manifolds.

Bernd Stratmann

Let $M$ be a manifold with an exact symplectic form $ω$. Then there is a nowhere vanishing primitive $β$ for $ω$, i.e. $ω=\mathrm{d}β$.

Yoshihiro Sugimoto

Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the symplectic manifold is closed.

Pazit Haim-Kislev

In this paper we introduce a combinatorial formula for the Ekeland-Hofer-Zehnder capacity of a convex polytope in $\mathbb{R}^{2n}$. One application of this formula is a certain subadditivity property of this capacity.

P. L. Robinson

We determine a precise necessary and sufficient condition for completeness of the Hamiltonian vector field associated to a homogeneous cubic polynomial on a symplectic plane.

Romero Solha

The note offers a proof of Darboux and Liouville theorems from a symplectic group action perspective.

Pavol Ševera

Poisson-Lie T-duality is explained using the language of Courant algebroids.

Janko Latschev

This is an expository account of some applications of string topology to the study of Lagrangian embeddings into symplectic manifolds, originally due to Fukaya, which was written as a contribution to a book on free loop spaces.

Takahiko Yoshida

We compute the equivariant local index for the reduced space in a symplectic cut space, provided that the reduced space is compact.

Marius Crainic, Ioan Marcut

We prove a version the local Reeb-Thurston stability theorem for symplectic foliations.

Leonid Polterovich

We detect, by using symplectic topology, invariant measures with large rotation vectors for a class of Hamiltonian flows.

Jarek Kedra

We give a simple proof of the Lalonde-McDuff conjecture for aspherical manifolds.

Paul-Emile Paradan

The aim of this article is to study the functorial properties of the ``formal geometric quantization'' procedure which is defined for non-compact Hamiltonian manifolds (when the moment map is proper). For this purpose, we introduce a technique of symplectic cutting that uses the wonderfull compactification of Concini-Procesi.

Wei-Dong Ruan

In this paper we prove the unobstructedness of the deformation of integral coisotropic submanifolds in symplectic manifolds, which can be viewed as a natural generalization of results of Weinstein for Lagrangian submanifolds.

Felix Schlenk

We extend the ``Extension after Restriction Principle'' for symplectic embeddings of bounded starlike domains to a large class of symplectic embeddings of unbounded starlike domains.

Aïssa Wade

We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis tensor and a Jacobi structure which are compatible, there is a hierarchy of pairwise compatible Jacobi structures. Furthermore, we study the homogeneous Poisson-Nijenhuis structures and their relations with Jacobi structures.