6 citations · 18 across the 8 of their papers we have counts for
10 papers
Logic and the -Simplicial Transformer
James Clift, Dmitry Doryn, Daniel Murfet +1
We introduce the -simplicial Transformer, an extension of the Transformer which includes a form of higher-dimensional attention generalising the dot-product attention, and uses…
Matrix factorizations over elementary divisor domains
Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol
We study the homotopy category of matrix factorizations of non-zero elements , where is an elementary divisor domain. When has prime elem…
Non-degeneracy of cohomological traces for general Landau-Ginzburg models
Dmitry Doryn, Calin Iuliu Lazaroiu
We prove non-degeneracy of the cohomological bulk and boundary traces for general open-closed Landau-Ginzburg models associated to a pair , where is a non-compact comple…
Elementary matrix factorizations over Bézout domains
Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol
We study the homotopy category (and its -graded version ) of elementary factorizations, where is a Bézout domain which has…
A differential model for B-type Landau-Ginzburg theories
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We describe a mathematically rigorous differential model for B-type open-closed topological Landau-Ginzburg theories defined by a pair , where is a non-compact Kählerian…
On invariants of 4-regular Feynman graphs
Dmitry Doryn
The obstruction for application of effective techniques like denominator reduction for the computation of the invariant of Feynman graphs in general is the absence of a 3-val…
On B-type open-closed Landau-Ginzburg theories defined on Calabi-Yau Stein manifolds
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We consider the bulk algebra and topological D-brane category arising from the differential model of the open-closed B-type topological Landau-Ginzburg theory defined by a pair $(X…
Differential models for B-type open-closed topological Landau-Ginzburg theories
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We propose a family of differential models for B-type open-closed topological Landau-Ginzburg theories defined by a pair , where is any non-compact Calabi-Yau manifold a…
Dual Graph Polynomials and a 4-face Formula
Dmitry Doryn
We study the dual graph polynomials and the case when a Feynman graph has no triangles but has a 4-face. This leads to the proof of the duality-admissibility of all graphs up to 18…
The invariant is invariant
Dmitry Doryn
The invariants in all 4 different representations of the Feynman period (parametric and dual parametric representations, position and momentum spaces) coincide for all log-di…