2 citations · 2 across the 4 of their papers we have counts for
4 papers
Graded Contact Geometry and the AKSZ Formalism
Ivan Contreras, Nicolas Martinez-Alba, Rajan Amit Mehta
The AKSZ formalism is a construction of topological field theories where the target spaces are differential graded symplectic manifolds. In this paper, we describe an analogue of t…
Supersymmetry Breaking in Graph Quantum Mechanics
Bek Herz, Ivan Contreras
In this paper, we develop the groundwork for a graph theoretic toy model of supersymmetric quantum mechanics. Using discrete Witten-Morse theory, we demonstrate that finite graphs…
Symplectic Geometry, Poisson Geometry, and Beyond
Ivan Contreras, Diego Martinez, Nicolas Martinez +1
Symplectic and Poisson geometry emerged as a tool to understand the mathematical structure behind classical mechanics. However, due to its huge development over the past century, i…
Frobenius and commutative pseudomonoids in the bicategory of spans
Ivan Contreras, Rajan Amit Mehta, Walker H. Stern
In previous work by the first two authors, Frobenius and commutative algebra objects in the category of spans of sets were characterized in terms of simplicial sets satisfying cert…