Abstract
Let be a closed manifold of dimension which admits a totally real embedding into . Let be the space of rays of the cotangent bundle of , and let be the unit disk bundle of defined by any Riemannian metric on . We observe that endowed with its standard contact structure admits weak symplectic fillings which are diffeomorphic to and for which any closed Lagrangian submanifold has the property that the map has a nontrivial kernel. This relies on a variation on a theorem by Laudenbach and Sikorav.
Citation
Pierre Py. "A remark about weak fillings." Kyoto J. Math. 57 (2) 435 - 444, June 2017. https://doi.org/10.1215/21562261-3821855
Information