Exact Lagrangians in plumbings |
| |
Authors: | Mohammed Abouzaid Ivan Smith |
| |
Institution: | 1. Columbia University, Simons Center for Geometry and Physics, New York, USA 2. University of Cambridge, Cambridge, UK
|
| |
Abstract: | Consider a Stein manifold M obtained by plumbing cotangent bundles of manifolds of dimension greater than or equal to 3 at points. We prove that the Fukaya category of closed exact Spin Lagrangians with vanishing Maslov class in M is generated by the compact cores of the plumbing. As applications, we classify exact Lagrangian spheres in A 2-Milnor fibres of arbitrary dimension, derive constraints on exact Lagrangian fillings of Legendrian unknots in disk cotangent bundles, and prove that the categorical equivalence given by the spherical twist in a homology sphere is typically not realised by any compactly supported symplectomorphism. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|