101 citations · 504 across the 26 of their papers we have counts for
26 papers
Coherent span-valued 2D TQFTs
Sophia E Marx, Rajan Amit Mehta
We consider commutative Frobenius pseudomonoids in the bicategory of spans, and we show that they are in correspondence with 2-Segal cosymmetric sets. Such a structure can be inter…
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…
2-Segal sets and pseudomonoids in the bicategory of spans
Sophia E Marx, Rajan Amit Mehta
In this survey article, we give an introduction to the notion of a 2-Segal set and prove that 2-Segal sets are equivalent to pseudomonoids in the bicategory of spans. The proof uti…
A geometric characterization of -manifolds and the Frobenius theorem
Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta
This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric…
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…
Graded geometry and generalized reduction
Henrique Bursztyn, Alberto S. Cattaneo, Rajan Amit Mehta +1
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded sym…