Symplectic manifolds with vanishing action–Maslov homomorphism
نویسندگان
چکیده
منابع مشابه
Action-Maslov Homomorphism for Monotone Symplectic Manifolds
Action-Maslov Homomorphism for Monotone Symplectic Manifolds
متن کاملRelative Flux Homomorphism in Symplectic Geometry
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, for a symplectic manifold. We use it to study (the universal cover of) the group of symplectomorphisms of a symplectic manifold leaving a Lagrangian submanifold invariant. We show that some quotients of this group are stable under symplectic reduction.
متن کاملTrace Homomorphism for Smooth Manifolds
Let M be a closed connected smooth manifold and G = Diff0(M) denote the connected component of the diffeomorphism group of M containing the identity. The natural action of G on M induces the trace homomorphism on homology. We show that the image of trace homomorphism is annihilated by the subalgebra of the cohomology ring of M , generated by the characteristic classes of M . Analogously, if J i...
متن کاملSymplectic manifolds with a symplectic non-free Z3-action
In [15] the authors have introduced a new technique to produce symplectic manifolds. It consists on taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities of the quotient. This has allowed to show the first example of a non-formal simply connected compact symplectic manifold of dimension 8. Here we present another descriptio...
متن کاملSYMPLECTIC TOPOLOGY OF b-SYMPLECTIC MANIFOLDS
A Poisson manifold (M2n, π) is b-symplectic if ∧n π is transverse to the zero section. In this paper we apply techniques of Symplectic Topology to address global questions pertaining to b-symplectic manifolds. The main results provide constructions of: b-symplectic submanifolds à la Donaldson, b-symplectic structures on open manifolds by Gromov’s h-principle, and of b-symplectic manifolds with ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2011
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2011.11.1077