m
• E

F Nous contacter

0

# Documents  Murphy, Emmy | enregistrements trouvés : 1

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Existence of Liouville structures on cobordisms Murphy, Emmy | CIRM H

Multi angle

Research talks;Geometry;Topology

Given a smooth cobordism with an almost complex structure, one can ask whether it is realized as a Liouville cobordism, that is, an exact symplectic manifold whose primitive induces a contact structure on the boundary. We show that this is always the case, as long as the positive and negative boundaries are both nonempty. The contact structure on the negative boundary will always be overtwisted in this construction, but for dimensions larger than 4 we show that the positive boundary can be chosen to have any given contact structure. In dimension 4 we show that this cannot always be the case, due to obstructions from gauge theory. Given a smooth cobordism with an almost complex structure, one can ask whether it is realized as a Liouville cobordism, that is, an exact symplectic manifold whose primitive induces a contact structure on the boundary. We show that this is always the case, as long as the positive and negative boundaries are both nonempty. The contact structure on the negative boundary will always be overtwisted in this construction, but for dimensions larger ...

#### Filtrer

##### Audience

Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée

0
Z