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most citedNecessary conditions for the existence of Morita Contexts in the bicategory of Landau-Ginzburg Models

1 citations · 1 across the 6 of their papers we have counts for

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7 papers

math.CT2024

On 3-matrix factorizations of polynomials

Yves Baudelaire Fomatati

Let and where is a field. %commutative ring with unity. In this paper, we propose a method showing how to o…

math.CT2023

A note on the bicategory of Landau-Ginzburg models (LGk)

Yves Baudelaire Fomatati

The bicategory of Landau-Ginzburg models denoted by LGK possesses adjoints and this helps in explaining a certain duality that exists in the setting of Landau-Ginzburg models in te…

math.RA2023

Some properties of n-matrix factorizations of polynomials

Yves Fomatati

Let where is a field. In this paper, we give some properties of -matrix factorizations of polynomials in . We also derive some results gi…

math.CT2022

Refined multiplicative tensor product of matrix factorizations

Yves Fomatati

An algorithm for matrix factorization of polynomials was proposed in \cite{fomatati2022tensor} and it was shown that this algorithm produces better results than the standard method…

math.CT2021

Some applications of the multiplicative tensor product of matrix factorizations

Yves Fomatati

The notion of semi-unital semi-monoidal category was defined a couple of years ago using the so called "Takahashi tensor product" and so far, the only example of it in the literatu…

math.CT2021★ 1 cited

Necessary conditions for the existence of Morita Contexts in the bicategory of Landau-Ginzburg Models

Yves Fomatati

We use a matrix approach to study the concept of Morita context in the bicategory of Landau-Ginzburg models on a particular class of objects. In fact, we first u…