11 citations · 43 across the 15 of their papers we have counts for
15 papers
Fukaya categories of orbifold surfaces in representation theory
Severin Barmeier, Zhengfang Wang
We give an introduction to partially wrapped Fukaya categories of surfaces with orbifold singularities. Dissecting an orbifold surface into polygons, certain dissection…
Deformations of partially wrapped Fukaya categories of surfaces
Severin Barmeier, Sibylle Schroll, Zhengfang Wang
We give a complete description of the A deformation theory of partially wrapped Fukaya categories of graded surfaces. We show that any abstract A deformation is "…
Partially wrapped Fukaya categories of orbifold surfaces
Severin Barmeier, Sibylle Schroll, Zhengfang Wang
We give a complete description of partially wrapped Fukaya categories of graded orbifold surfaces with stops. We show that a construction via global sections of a natural cosheaf o…
A deformations of extended Khovanov arc algebras and Stroppel's conjecture
Severin Barmeier, Zhengfang Wang
Extended Khovanov arc algebras are graded associative algebras which naturally appear in a variety of contexts, from knot and link homology, low-dimensional topolo…
Strict quantization of polynomial Poisson structures
Severin Barmeier, Philipp Schmitt
We show how combinatorial star products can be used to obtain strict deformation quantizations of polynomial Poisson structures on , generalizing known results for con…
Towards a categorification of scattering amplitudes
Severin Barmeier, Prafulla Oak, Aritra Pal +2
Categorification of scattering amplitudes for planar Feynman diagrams in scalar field theories with a polynomial potential is reported. Amplitudes for cubic theories are directly w…
Deformations of categories of coherent sheaves via quivers with relations
Severin Barmeier, Zhengfang Wang
We give an explicit combinatorial description of the deformation theory of the Abelian category of (quasi)coherent sheaves on any separated Noetherian scheme via the deformatio…
Learning scattering amplitudes by heart
Severin Barmeier, Koushik Ray
The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charge…
Deformations of path algebras of quivers with relations
Severin Barmeier, Zhengfang Wang
Let be the path algebra of any finite quiver modulo any two-sided ideal of relations and let be any reduction system satisfying the diamond condition…
Quantizations of local surfaces and rebel instantons
Severin Barmeier, Elizabeth Gasparim
We construct explicit deformation quantizations of the noncompact complex surfaces and describe their effect on moduli s…
Deformation-obstruction theory for diagrams of algebras and applications to geometry
Severin Barmeier, Yaël Frégier
Let be a smooth complex algebraic variety and let denote its Abelian category of coherent sheaves. By the work of W. Lowen and M. Van den Bergh, it is…
A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors
Edoardo Ballico, Severin Barmeier, Elizabeth Gasparim +2
We describe the Fukaya-Seidel category of a Landau-Ginzburg model LG(2) for the semisimple adjoint orbit of sl(2,C). We prove that this category is equivalent to a full triangulate…
Classical deformations of noncompact surfaces and their moduli of instantons
Severin Barmeier, Elizabeth Gasparim
We describe semiuniversal deformation spaces for the noncompact surfaces and prove that any nontrivial deformation $Z_k…
Deformations of the discrete Heisenberg group
Severin Barmeier
We study deformations of the discrete Heisenberg group acting properly discontinuously on the Heisenberg group from the left and right and obtain a complete description of the defo…
Isomorphisms of Moduli Spaces
Carlos Casorrán Amilburu, Severin Barmeier, Brian Callander +1
We give infinitely many new isomorphisms between moduli spaces of bundles on local surfaces and on local Calabi--Yau threefolds.