3 papers
math.MG2019
Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies
Gábor Damásdi, Viktória Földvári, Márton Naszódi
We prove the following Helly-type result. Let be finite families of convex bodies in . Assume that for any colorful selection o…
math.GT2019
The Knot Invariant Using Grid Homologies
Viktória Földvári
According to the idea of Ozsváth, Stipsicz and Szabó, we define the knot invariant without the holomorphic theory, using constructions from grid homology. We develop a homology…
math.MG2018
Bounds on Convex Bodies in Pairwise Intersecting Minkowski Arrangement of Order
Viktória Földvári
A generalization of pairwise intersecting Minkowski arrangement of centrally symmetric convex bodies is the pairwise intersecting Minkowski arrangement of order . Here, the homo…