10 papers
Almost equivalences between Tamarkin category and Novikov sheaves
Tatsuki Kuwagaki
We revisit the relationship between the Tamarkin's extra variable and Novikov rings. We prove that the equivariant version of Tamarkin category is almost equivalent (in the sen…
Almost mathematics, Persistence module, and Tamarkin category
Tatsuki Kuwagaki, Bingyu Zhang
We give a precise unification of three theories that are widely used by symplectic geometers: (Almost) modules over the Novikov ring, Persistence modules, and the Tamarkin category…
A remark on monoidal structure and homological mirror symmetry
Tatsuki Kuwagaki
For a symplectic geometry , suppose the (derived) Fukaya category of is equipped with a monoidal structure. Then its Balmer spectrum recovers a mirror …
On Fukaya categories and prequantization bundles
Tatsuki Kuwagaki, Adrian Petr, Vivek Shende
We show: the Floer homology over the Novikov ring of (nonexact!) rational Lagrangians in an (nonexact!) integral symplectic manifold can be computed in terms of exact Lagrangians i…
Tamarkin's separation theorem for non-compact objects in cotangent bundles
Yuichi Ike, Tatsuki Kuwagaki
In this short note, we prove a Tamarkin-type separation theorem for possibly non-compact subsets in cotangent bundles.
Hodge microsheaves on cotangent bundles and plumbings
Tatsuki Kuwagaki, Takahiro Saito
We introduce and study the category of Hodge microsheaves which is a Hodge-version of the category of microsheaves for a certain class of holomorphic exact symplectic manifolds. We…