3 papers
math.CO2025
Flip Combinatorial Invariance and Weyl groups
Francesco Esposito, Mario Marietti, Salvatore Stella
In this work, we investigate the approach via flipclasses to the Combinatorial Invariance Conjecture for Kazhdan--Lusztig polynomials of all Coxeter groups. We prove the combinator…
math.CO2024
A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials
Francesco Esposito, Mario Marietti, Grant T. Barkley +1
We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invarianc…
math.AG2024
On semiample vector bundles and parallelizable compact complex manifolds
Francesco Esposito, Ernesto C. Mistretta
We provide a characterization of parallelizable compact complex manifolds and their quotients using holomorphic symmetric differentials. In particular we show that compact complex…