4 papers · 1 filter
A few remarks about symplectic filling
Yakov Eliashberg
We show that any compact symplectic manifold (W,ω) with boundary embeds as a domain into a closed symplectic manifold, provided that there exists a contact plane ξon dW which is we…
Holonomic approximation and Gromov's h-principle
Y. M. Eliashberg, N. M. Mishachev
In 1969 M. Gromov in his PhD thesis greatly generalized Smale-Hirsch-Phillips immersion-submersion theory by proving what is now called the h-principle for invariant open different…
Introduction to Symplectic Field Theory
Yakov Eliashberg, Alexander Givental, Helmut Hofer
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagra…
Partially ordered groups and geometry of contact transformations
Yakov Eliashberg, Leonid Polterovich
We prove, for a class of contact manifolds, that the universal cover of the group of contact diffeomorphisms carries a natural partial order. It leads to a new viewpoint on geometr…