16 citations · 27 across the 6 of their papers we have counts for
6 papers
The space of tight contact structures on is contractible
Yakov Eliashberg, Nikolai Mishachev
It was proven in the first author's paper "Contact 3-manifolds twenty years since J. Martinet's work" (Ann. Inst. Fourier, 42(1992), 165--192) that any tight contact structure on t…
Topology of spaces of S-immersions
Yakov M. Eliashberg, Nikolai M. Mishachev
We use the wrinkling theorem proven in Y. Eliashberg and N. Mishachev, "Wrinkling of smooth mappings and its applications - I", Invent. Math., 130(1997), 345-369, to fully describe…
Wrinkled Embeddings
Yakov M. Eliashberg, Nikolai M. Mishachev
A {\it wrinkled embedding} is a topological embedding which is a smooth embedding everywhere on except a set of -dimensional spheres, where has cuspid…
The space of framed functions is contractible
Yakov M. Eliashberg, Nikolai M. Mishachev
According to Kiyoshi Igusa a generalized Morse function on an n-dimensional manifold M is a smooth function with only Morse and birth-death singularities and a framed function is a…
Madsen-Weiss for geometrically minded topologists
Yakov Eliashberg, Soren Galatius, Nikolai Mishachev
We give an alternative proof of Madsen-Weiss' generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss' original proof, but it is more geometrical and le…
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…