38 citations · 49 across the 17 of their papers we have counts for
18 papers
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 …
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…
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…
On the generic existence of WKB spectral networks/Stokes graphs
Tatsuki Kuwagaki
We prove the generic existence of spectral networks for a large class of spectral data.
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.
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…
Adjoints, wrapping, and morphisms at infinity
Tatsuki Kuwagaki, Vivek Shende
For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov's algebraizable categorical formal punctured nei…
Microlocal categories over Novikov rings
Yuichi Ike, Tatsuki Kuwagaki
In this paper, we define a family of categories for each Weinstein manifold, which is an enhanced version of the category first introduced by Tamarkin. Using our categories, for an…
An introduction to sheaf quantization
Tatsuki Kuwagaki
The notion of sheaf quantization has many faces: an enhancement of the notion of constructible sheaves, the Betti counterpart of Fukaya--Floer theory, a topological realization of…
-Riemann-Hilbert correspondence
Tatsuki Kuwagaki
We formulate and prove a Riemann-Hilbert correspondence between -differential equations and sheaf quantizations, which can be considered as a correspondence between two kind…
Sheaf quantization from exact WKB analysis
Tatsuki Kuwagaki
A sheaf quantization is a sheaf associated to a Lagrangian brane. By using the results of exact WKB analysis, we sheaf-quantize spectral curves over the Novikov ring under some ass…
Mirror symmetry for perverse schobers from birational geometry
W. Donovan, T. Kuwagaki
Perverse schobers are categorical analogs of perverse sheaves. Examples arise from varieties admitting flops, determined by diagrams of derived categories of coherent sheaves assoc…
Categorification of Legendrian knots
Tatsuki Kuwagaki
Perverse schober defined by Kapranov--Schechtman is a categorification of the notion of perverse sheaf. In their definition, a key ingredient is certain purity property of perverse…
Irregular perverse sheaves
Tatsuki Kuwagaki
We introduce irregular constructible sheaves, which are -constructible with coefficients in a finite version of Novikov ring and special gradings. We show that the…
The nonequivariant coherent-constructible correspondence for toric stacks
Tatsuki Kuwagaki
The nonequivariant coherent-costructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang-Liu-Treumann…
Categorical localization for the coherent-constructible correspondence
Yuichi Ike, Tatsuki Kuwagaki
We prove a microlocal counterpart of categorical localization for Fukaya categories in the setting of the coherent-constructible correspondence.
The nonequivariant coherent-constructible correspondence for toric surfaces
Tatsuki Kuwagaki
We prove the nonequivariant coherent-constructible correspondence conjectured by Fang-Liu-Treumann-Zaslow in the case of toric surfaces. Our proof is based on describing a semi-ort…