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math.GT2026
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…
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…