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math.SG2026
Braid Stability and a Floer theory of Braid Isotopies
Nicolas Grunder
We build a Floer theory on the space of braids of periodic orbits of a Hamiltonian flow on a closed symplectic surface. The differential and continuation maps are defined by counti…
math.SG2025
A non-autonomous Hamiltonian diffeomorphism with roots of all orders
Nicolas Grunder, Baptiste Serraille
We present a way of constructing non-autonomous Hamiltonian diffeomorphisms with roots of all orders by adapting the Anosov-Katok construction. This answers a question by Kathryn M…