Titlebook: Gauge Theory and Symplectic Geometry; Jacques Hurtubise,Fran?ois Lalonde,Gert Sabidussi Book 1997 Springer Science+Business Media Dordrech

insolence

Symplectic geometry of plurisubharmonic functions,isubharmonic (or .-convex) functions on complex manifolds are analagous to convex functions on Riemannian manifolds but their theory is much richer. Symplectic geometry is crucial for understanding Morse-theoretic properties of .-convex functions..Our goal is just the general picture of the subject. The proofs are only indicated or sketched here.

CRUMB

Frobenius manifolds,e are nonlinear equations which appear in disguise in many other branches of mathematics. We show how to reformulate the equations in terms of the problem of determining flat connections on surfaces with given holonomy, the classical subject of isomonodromic deformations.

清晰

J-holomorphic curves and symplectic invariants,c form. Both local and global results are described. We then apply this theory to the construction of symplectic invariants of spaces and of diffeomorphisms of symplectic manifolds. We conclude with a brief description of the . of a symplectic manifold, which can be viewed as an application of the theory of pseudoholomorphic 2-spheres.

mutineer

執(zhí)拗

https://doi.org/10.1007/978-3-031-45186-7ernatives, showing, for example, a way of dealing with multiply-covered exceptional spheres. We also calculate some examples, in particular finding the Gromov invariant of the fiber class of an elliptic surface by counting .-holomorphic curves, rather than going via Seiberg—Witten theory.

Additive

dialect

Lectures on Gromov invariants for symplectic 4-manifolds,ernatives, showing, for example, a way of dealing with multiply-covered exceptional spheres. We also calculate some examples, in particular finding the Gromov invariant of the fiber class of an elliptic surface by counting .-holomorphic curves, rather than going via Seiberg—Witten theory.

驚奇

按等級(jí)

Book 1997 curves and to quantumcohomology; algebraically integrable Hamiltonian systems and modulispaces; the stable topology of gauge theory, Morse-Floertheory; pseudo-convexity and its relations to symplectic geometry;generating functions; Frobenius manifolds and topological quantumfield theory.

無王時(shí)期,

Elite Theory,ts, like Peschek, Domhoff and Dye, examine the role of think tanks and try to prove their political influence by the revolving door principle, by the participation of well-known politicians in their seminars and conferences, by their scholars’ testimonies in congressional hearings, and their assista