4 papers · 1 filter
Monotone Lagrangians in cotangent bundles of spheres
Mohammed Abouzaid, Luís Diogo
We study the compact monotone Fukaya category of , for , and show that it is split-generated by two classes of objects: the zero-section (equipped with suita…
Augmentations, annuli, and Alexander polynomials
Luís Diogo, Tobias Ekholm
The augmentation variety of a knot is the locus, in the 3-dimensional coefficient space of the knot contact homology dg-algebra, where the algebra admits a unital chain map to the…
Symplectic Homology of complements of smooth divisors
Luís Diogo, Samuel T. Lisi
If is a symplectic manifold, and is a smooth symplectic submanifold Poincaré dual to a positive multiple of , admits a compactification as a Liouvil…
Morse-Bott Split Symplectic Homology
Luís Diogo, Samuel T. Lisi
We introduce a chain complex associated to a Liouville domain whose boundary admits a Boothby--Wang contact form (i.e. is a prequantization space). The dif…