3 papers
math.AG2026
Positive Genus Pairs from Amplituhedra
Joris Koefler, Dmitrii Pavlov, Rainer Sinn
A main conjecture in the field of Positive Geometry states that amplituhedra, which are certain semi-algebraic sets in the Grassmannian, are positive geometries. It is motivated by…
math.AG2025
Taking the amplituhedron to the limit
Joris Koefler, Rainer Sinn
The amplituhedron is a semialgebraic set given as the image of the non-negative Grassmannian under a linear map subject to a choice of additional parameters. We define the limit am…
hep-th2024
Uniqueness of MHV Gravity Amplitudes
Joris Koefler, Umut Oktem, Shruti Paranjape +2
We investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, the gravity amplitudes do not have logarithmic singular…