embedded contact homologyの例文

例文

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1. Taubes has shown that it is isomorphic to embedded contact homology.
2. He gave an invited talk at the International Congress of Mathematicians in 2010, entitled " Embedded contact homology and its applications ".
3. More recently, Taubes, C . Kutluhan and Y-J . Lee proved that embedded contact homology is isomorphic to Heegaard Floer homology.
4. The dynamics of the Reeb field can be used to study the structure of the contact manifold or even the underlying manifold using techniques of Floer homology such as embedded contact homology.
5. In particular, the proof provides a shortcut to the closely related program of proving the Weinstein conjecture by showing that the embedded contact homology of any contact three-manifold is nontrivial.