3 papers
math.DG2025
The universal Euler characteristic and Burnside group for definable groupoids
Carla Farsi, Emily Proctor, Christopher Seaton
We introduce the universal Euler characteristic of orbit space definable groupoids, a class of groupoids containing cocompact proper Lie groupoids as well as translation groupoids…
math.AG2024
The symplectic form associated to a singular Poisson algebra
Hans-Christian Herbig, William Osnayder Clavijo Esquivel, Christopher Seaton
Given an affine Poisson algebra, that is singular one may ask whether there is an associated symplectic form. In the smooth case the answer is obvious: for the symplectic form to e…
math.AG2024
Higher Koszul brackets on the cotangent complex
Hans-Christian Herbig, Daniel Herden, Christopher Seaton
Let and be a commutative algebra of the form where is a field of characteristic and $I\subseteq \boldsymbol k…