2 citations · 4 across the 5 of their papers we have counts for
6 papers
Notes on Factorization Algebras and TQFTs
Araminta Amabel
These are notes from talks given at a spring school on topological quantum field theory in Nova Scotia during May of 2023. The aim is to introduce the reader to the role of factori…
Genera from an algebraic index theorem for supermanifolds
Araminta Amabel
We prove a super-version of Nest-Tsygan's algebraic index theorem. This work is inspired by the appearance of the same cobordism invariants in three related stories: index theory,…
Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent
Araminta Amabel
We construct a canonical deformation quantization for symplectic supermanifolds. This gives a novel proof of the super-analogue of Fedosov quantization. Our proof uses the formalis…
Differential Cohomology: Categories, Characteristic Classes, and Connections
Araminta Amabel, Arun Debray, Peter J. Haine
We give an overview of differential cohomology from a modern, homotopy-theoretic perspective in terms of sheaves on manifolds. Although modern techniques are used, we base our disc…
Poincaré/Koszul Duality for General Operads
Araminta Amabel
We record a result concerning the Koszul dual of the arity filtration on an operad. This result is then used to give conditions under which, for a general operad, the Poincaré/Kosz…
Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories
Araminta Amabel, Artem Kalmykov, Lukas Müller +1
These are notes from an informal mini-course on factorization homology, infinity-categories, and topological field theories. The target audience was imagined to be graduate student…