16 citations · 31 across the 7 of their papers we have counts for
7 papers
Stokes structure of wild difference modules
Yota Shamoto
We formulate and prove a Riemann--Hilbert correspondence between two categories: wild difference modules and wild Stokes-filtered -modules. This corresponde…
A Riemann-Hilbert correspondence for cohomology theories of closed 1-forms
Yota Shamoto
Motivated by the work of Kontsevich-Soibelman on the comparison of isomorphisms conjecture for closed algebraic -forms, we establish a Riemann-Hilbert correspondence of Deligne-…
Stokes structure of mild difference modules
Yota Shamoto
We introduce a category of filtered sheaves on a circle to describe the Stokes phenomenon of linear difference equations with mild singularity. The main result is a mild difference…
Stokes filtered sheaves and differential-difference modules
Yota Shamoto
We introduce the notion of Stokes filtered quasi-local systems. It is proved that the category of Stokes filtered quasi-local systems is abelian. We also give a geometric way to co…
Hodge-Tate conditions for Landau-Ginzburg models
Yota Shamoto
We give a sufficient condition for a class of tame compactified Landau-Ginzburg models in the sense of Katzarkov-Kontsevich-Pantev to satisfy some versions of their conjectures. We…
An analogue of Dubrovin's conjecture
Fumihiko Sanda, Yota Shamoto
We propose an analogue of Dubrovin's conjecture for the case where Fano manifolds have quantum connections of exponential type. It includes the case where the quantum cohomology ri…
Mixed trTLEP-structures and mixed Frobenius structures
Yota Shamoto
We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold. This is a generalizati…