Results 61 to 70 of about 110,516 (135)
Maximal symplectic torus actions
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley +1 more source
Explicit constructions of short virtual resolutions of truncations
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4000-4014, December 2025.Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley +1 more source
Invariants for Lagrangian tori
, 2004 We define an simple invariant of an embedded nullhomologous Lagrangian torus and use this invariant to show that many symplectic 4-manifolds have infinitely many pairwise symplectically inequivalent nullhomologous Lagrangian tori.
Fintushel +13 more
core +3 more sources
Triangular Poisson structures on Lie groups and symplectic reduction
, 2004 We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the
Hodges, Timothy J., Yakimov, Milen
core +2 more sources
On the Maslov class rigidity for coisotropic submanifolds [PDF]
, 2009 We define the Maslov index of a loop tangent to the characteristic foliation of a coisotropic submanifold as the mean Conley--Zehnder index of a path in the group of linear symplectic transformations, incorporating the "rotation" of the tangent space of ...
Ginzburg, Viktor L.
core
A completely integrable system on $G_2$ coadjoint orbits
, 2016 We construct a Gelfand-Zeitlin system on a one-parameter family of $G_2$ coadjoint orbits that are multiplicity-free Hamiltonian $SU(3)$-spaces. Using this system we prove a lower bound for the Gromov width of these orbits.
Lane, Jeremy
core
From symplectic cohomology to Lagrangian enumerative geometry [PDF]
Advances in Mathematics, 2017 D. Tonkonog
semanticscholar +1 more source
The linear symmetries of Hill's lunar problem. [PDF]
Arch Math, 2023 Aydin C.
europepmc +1 more source
An introduction to embedding problems in symplectic geometry (Women in Mathematics)
An introduction to embedding problems in symplectic geometry (Women in Mathematics)This talk will give an elementary introduction to this topic. I will describe the general problem, illustrate its importance, and then explain some classical and recent results.
openaire
Symplectic Geometry Aspects of the Parametrically-Dependent Kardar-Parisi-Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability. [PDF]
Entropy (Basel), 2023 Prykarpatski AK, Pukach PY, Vovk MI.
europepmc +1 more source