论文标题
相对H原则和接触几何形状
Relative H-Principle and Contact Geometry
论文作者
论文摘要
我们表明，如果$ f（m）$是具有正式解决方案的空间$ f^f（m）$的某些空间，可以满足一定的相对$ h $ - 原理，则非层次地图$ f（m）\ to f^f（m）$允许均纳入同型。我们将其应用于Borman-Eliashberg-Murphy证明的相对$ h $ - 原则，以在$ M $ $ M $的同构型组中找到无限的环状亚组。
We show that if $F(M)$ is some space of holonomic solutions with space of formal solutions $F^f(M)$ that satisfies a certain relative $h$-principle, then the non-relative map $F(M) \to F^f(M)$ admits a section up to homotopy. We apply this to the relative $h$-principle for overtwisted contact structures proved by Borman-Eliashberg-Murphy to find infinite cyclic subgroups in the homotopy groups of the contactomorphism group of $M$.
