4 papers
Bounds on Legendrian Double Twist Knots
Viktória Földvári, Vera Vértesi
We study Legendrian realizations of double twist knots in the standard tight contact 3-sphere. For the family K(4,m), we give upper bounds on the number of oriented and unoriented…
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…
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…
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…