2 papers
math.SG2026
On Lagrangian cobordisms and the Chekanov-Eliashberg DGA
Sierra Knavel, Thomas Rodewald
In this paper, we consider exact Lagrangian cobordisms and the map they induce on the Chekanov-Eliashberg DGAs of their Legendrian ends as defined by Ekholm, Honda, and Kalman. Spe…
math.GT2025
A note on the topology of Lefschetz fibrations
Sierra Knavel
We prove an upper bound for the first Betti number of a nontrivial genus- Lefschetz fibration. We also show that if the monodromy of a Lefschetz fibration is transitive with res…