activity
20172021
collaborators

4 papers

math.SG2021

Equivariant Homological Mirror Symmetry for and

Masahiro Futaki, Fumihiko Sanda

In this paper we define an equivariant Floer algebra for and by using Cartan model. We then prove an equivariant homological mirror symmetr…

math.SG2019

Meromorphic connections in filtered categories

Hiroshi Ohta, Fumihiko Sanda

In this note, introducing notions of CH module, CH morphism and CH connection, we define a meromorphic connection in the "-direction" on periodic cyclic homology of an $A_\infty…

math.SG2017

Computation of quantum cohomology from Fukaya categories

Fumihiko Sanda

Assume the existence of a Fukaya category of a compact symplectic manifold with some expected properties. In this paper, we show $\mathscr{A} \subset \mathrm{…

math.AG2017

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…