24 citations · 90 across the 11 of their papers we have counts for
12 papers
Geometric Invariant Theory for Affine Superschemes
Alexander Quintero Velez, Pedro Rizzo, Alexander Torres-Gomez
We develop Geometric Invariant Theory for affine superschemes under the action of reductive algebraic supergroups, formulating the theory in terms of coordinate Hopf superalgebras…
Relativity
Camilo Arias Abad, Alexander Quintero Velez, Juan Diego Velez Caicedo
These lectures notes contain an introduction to General Relativity. They are addressed to a general mathematical audience with no specific background in physics. The goal is to mot…
Color-kinematics duality from the Bern-Kosower formalism
Naser Ahmadiniaz, Filippo Maria Balli, Cristhiam Lopez-Arcos +2
Berends-Giele currents are fundamental building blocks for on-shell amplitudes in non-abelian gauge theory. We present a novel procedure to construct them using the Bern-Kosower fo…
Chern-Weil theory for -local systems
Camilo Arias Abad, Santiago Pineda Montoya, Alexander Quintero Velez
Let be a compact connected Lie group. We show that the category of -local systems on the classifying space of , can be described infinite…
The structure of gauge theories with matter
Humberto Gomez, Renann Lipinski Jusinskas, Cristhiam Lopez-Arcos +1
In this work we present an algebraic approach to the dynamics and perturbation theory at tree-level for gauge theories coupled to matter. The field theories we will consider are: C…
An version of the Poincaré lemma
Camilo Arias Abad, Alexander Quintero Velez, Sebastian Velez Vasquez
We prove a categorified version of the Poincaré lemma. The natural setting for our result is that of -local systems. More precisely, we show that any smooth homotopy betwee…
Calabi-Yau completions and orbifold equivalences
Nils Carqueville, Alexander Quintero Velez
Calabi-Yau algebras are particularly symmetric differential graded algebras. There is a construction called `Calabi-Yau completion' which produces a canonical Calabi-Yau algebra fr…
Cohomology of wheels on toric varieties
Alastair Craw, Alexander Quintero Velez
We describe explicitly the cohomology of the total complex of certain diagrams of invertible sheaves on normal toric varieties. These diagrams, called wheels, arise in the study of…
Second syzygies of monomial submodules from walks
Alastair Craw, Alexander Quintero Velez
This paper has been subsumed as section 2 of our joint paper posted in June 2012.
Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy
Alexander Quintero Velez
A general form for the boundary coupling of a Lie algebroid Poisson sigma model is proposed. The approach involves using the Batalin-Vilkovisky formalism in the AKSZ geometrical ve…
Cellular resolutions of noncommutative toric algebras from superpotentials
Alastair Craw, Alexander Quintero Velez
This paper constructs cellular resolutions for classes of noncommutative algebras, analogous to those introduced by Bayer-Sturmfels in the commutative case. To achieve this we gene…
McKay correspondence for Landau-Ginzburg models
Alexander Quintero Velez
In this paper we prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M. Reid, which r…