### Some articles on *symplectic manifolds, symplectic manifold, manifolds, symplectic, manifold*:

Aspherical Space - Symplectically Aspherical Manifolds

... If one deals with

... If one deals with

**symplectic manifolds**, the meaning of "aspherical" is a little bit different ... Specifically, we say that a**symplectic manifold**(M,ω) is symplectically aspherical if and only if for every continuous mapping where denotes the first Chern class of an almost complex structure ... By Stokes' theorem, we see that**symplectic manifolds**which are aspherical are also symplectically aspherical**manifolds**...Floer Homology of Three-manifolds - Embedded Contact Homology

... Michael Hutchings, is an invariant of 3-

... Michael Hutchings, is an invariant of 3-

**manifolds**(with a distinguished second homology class, corresponding to the choice of a spinc structure in Seiberg–Wi ... invariant, known to be equivalent to the Seiberg–Witten invariant, from closed**symplectic**4-**manifolds**to certain non-compact**symplectic**4-**manifolds**(namely, a contact three-**manifold**cross R) ... Its construction is analogous to**symplectic**field theory, in that it is generated by certain collections of closed Reeb orbits and its differential counts certain holomorphic curves with ends at ...Symplectic Sum

... In mathematics, specifically in

... In mathematics, specifically in

**symplectic**geometry, the**symplectic**sum is a geometric modification on**symplectic manifolds**, which glues two given**manifolds**into a single new one ... It is a**symplectic**version of connected summation along a submanifold, often called a fiber sum ... The**symplectic**sum is the inverse of the**symplectic**cut, which decomposes a given**manifold**into two pieces ...Differential Geometers - Branches of Differential Geometry - Symplectic Geometry

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**Symplectic**geometry is the study of**symplectic manifolds**... An almost**symplectic manifold**is a differentiable**manifold**equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e ... a nondegenerate 2-form ω, called the**symplectic**form ...Main Site Subjects

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