3 papers
math.AG2026
Exact Volumes of Semi-Algebraic Convex Bodies
Lakshmi Ramesh, Nicolas Weiss
We compute the volumes of convex bodies that are given by inequalities of concave polynomials. These volumes are found to arbitrary precision thanks to the representation of period…
math.AG2025
Connection Matrices in Macaulay2
Paul Görlach, Joris Koefler, Anna-Laura Sattelberger +4
In this article, we describe the theoretical foundations of the Macaulay2 package ConnectionMatrices and explain how to use it. For a left ideal in the Weyl algebra that is of fini…
math.GT2024
Complexity of equal 0-surgeries
Tetsuya Abe, Marc Kegel, Nicolas Weiss
We say that two knots are friends if they share the same 0-surgery. Two friends with different sliceness status would provide a counterexample to the 4-dimensional smooth Poincaré…