We develop a set of tools for doing computations in and of (partially) wrapped Fukaya
categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya …

The $ n $-dimensional pair of pants is defined to be the complement of $ n+ 2$ generic
hyperplanes in $\mathbb {CP} n $. We construct an immersed Lagrangian sphere in the pair …

We prove that the cyclic homology of a saturated A_ ∞ A∞ category admits the structure of a
'polarized variation of Hodge structures', building heavily on the work of many authors: the …

We prove that under certain conditions, the quantum cohomology of a positively monotone
compact symplectic manifold is a deformation of the symplectic cohomology of the …

We build a bridge between Floer theory on open symplectic manifolds and the enumerative
geometry of holomorphic disks inside their Fano compactifications, by detecting elements in …

We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-H\" ubsch
invertible polynomial, mostly proving a conjecture of Yank {\i} Lekili and Kazushi Ueda on …

We develop a set of tools for doing computations in and of (partially) wrapped Fukaya
categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya …

Homological mirror symmetry has its origins in theoretical physics but is now of great interest
in mathematics due to the deep connections it reveals between different areas of geometry …

We prove Kontsevich's homological mirror symmetry conjecture for certain mirror pairs
arising from Batyrev–Borisov's 'dual reflexive Gorenstein cones' construction. In particular …

We study the symplectic topology of certain $ K3 $ surfaces (including the “mirror quartic”
and “mirror double plane”), equipped with certain Kähler forms. In particular, we prove that …