4 papers
Quantum braid Floer homology
Cristina Ana-Maria Anghel, András Juhász
Given a braid whose closure is a knot, we associate to it a doubly pointed Heegaard diagram with additional marked points that we call a quantum Heegaard diagram. This is obtained…
Polynomiality of the Striling coefficients of and Fano schemes
László M. Fehér, András P. Juhász
We prove that the -dependence of , the Chern class of the -representation of degree homogeneous polynomials in complex v…
Data for Mathematical Copilots: Better Ways of Presenting Proofs for Machine Learning
Simon Frieder, Jonas Bayer, Sam Looi +13
The datasets and benchmarks commonly used to train and evaluate the mathematical capabilities of AI-based mathematical copilots (primarily large language models) exhibit several sh…
On Fox's trapezoidal conjecture
Soheil Azarpendar, András Juhász, Tamás Kálmán
We investigate Fox's trapezoidal conjecture for alternating links. We show that it holds for diagrammatic Murasugi sums of special alternating links, where all sums involved have l…